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📌 Pinned📄 GuideGanita Manjari Class 9 Solutions

Ganit Manjari Class 9 SolutionsClass 9 Ganit Manjari SolutionClass 9 Ganita Manjari Solutions - Gani

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Class 9 Maths

📄 GuideIn the figure we see two shaded regions formed by a quarter circle, a semicircle, and a triangle. Class 9

In the figure we see two shaded regions formed by a quarter circle, a semicircle, and a triangle. Cl

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Class 9 Maths

📄 GuideIn Fig. 6.54, we see three triangles within a rectangle. The areas of the triangles are A, B, C, as marked. Class 9

In Fig. 6.54, we see three triangles within a rectangle. The areas of the triangles are A, B, C, as

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Class 9 Maths

📄 GuideFig. 6.53 shows two circles passing through each other's centres. Find the area of the region Class 9

Fig. 6.53 shows two circles passing through each other's centres. Find the area of the region Class

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Class 9 Maths

📄 GuideIn Fig. 6.52, semicircles have been drawn on all the sides of a right-angled triangle as shown. Class 9

In Fig. 6.52, semicircles have been drawn on all the sides of a right-angled triangle as shown. Clas

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Class 9 Maths

📄 GuideIn Fig. 6.51 we see two concentric circles with a common centre O. A chord BC of the larger circle Class 9

In Fig. 6.51 we see two concentric circles with a common centre O. A chord BC of the larger circle C

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Class 9 Maths

📄 GuideIn given Fig. 6.50, four semicircles have been drawn within the given square whose side is 2 units. Class 9

In given Fig. 6.50, four semicircles have been drawn within the given square whose side is 2 units.

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Class 9 Maths

📄 GuideThe figure shows a quarter circle in a square. Its centre is at one vertex, and it passes through two Class 9

The figure shows a quarter circle in a square. Its centre is at one vertex, and it passes through tw

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Class 9 Maths

📄 GuideShow that the areas of the shaded blue triangle and the shaded red triangle are equal. Class 9

Show that the areas of the shaded blue triangle and the shaded red triangle are equal. Class 9Questi

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Class 9 Maths

📄 GuideThe figure shows nine identical rectangles fitted together to make a large rectangle whose area is 72 cm² Class 9

The figure shows nine identical rectangles fitted together to make a large rectangle whose area is 7

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Class 9 Maths

📄 GuideUse the above to make a conjecture about the area occupied by circles fitted into a rectangle Class 9

Use the above to make a conjecture about the area occupied by circles fitted into a rectangle Class

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Class 9 Maths

📄 GuideThree equal circles fit exactly inside the rectangle, touching each other and the sides of the rectangle. Class 9

Three equal circles fit exactly inside the rectangle, touching each other and the sides of the recta

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Class 9 Maths

📄 GuideLet ∆ABC be the triangle, D divides side AB into two parts and E and F divides AC into three equal parts. Class 9

Let ∆ABC be the triangle, D divides side AB into two parts and E and F divides AC into three equal p

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Class 9 Maths

📄 GuideThree problems about fitting congruent shapes together: Class 9

Three problems about fitting congruent shapes together: Class 9Question 1. Three problems about fitt

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Class 9 Maths

📄 GuideShow that the area of a kite is half the product of its diagonals. Class 9

Show that the area of a kite is half the product of its diagonals. Class 9Question 1. Show that the

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Class 9 Maths

📄 GuideShow how we can use two identical copies of a trapezium to make a parallelogram. Class 9

Show how we can use two identical copies of a trapezium to make a parallelogram. Class 9Question 1.

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Class 9 Maths

📄 GuideBy dividing a trapezium into two triangles show that its area is, half the sum of the parallel sides multiplied Class 9

By dividing a trapezium into two triangles show that its area is, half the sum of the parallel sides

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Class 9 Maths

📄 GuideYou know that the area of a parallelogram is base × height. Using this and the figure, show that the area Class 9

You know that the area of a parallelogram is base × height. Using this and the figure, show that the

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Class 9 Maths

📄 GuideThe wheel of a car has an outer radius of 28 cm. Calculate how far the car travels after one complete Class 9

The wheel of a car has an outer radius of 28 cm. Calculate how far the car travels after one complet

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Class 9 Maths

📄 GuideIf the wheel of a bicycle has a diameter of 60 cm, find how far a cyclist will have travelled after the wheel Class 9

If the wheel of a bicycle has a diameter of 60 cm, find how far a cyclist will have travelled after

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Class 9 Maths

📄 GuideThe sides of a triangle have lengths 7 cm, 24 cm, 25 cm. Find the area of the triangle in two different ways. Class 9

The sides of a triangle have lengths 7 cm, 24 cm, 25 cm. Find the area of the triangle in two differ

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Class 9 Maths

📄 GuideThe sides of a triangle are in the ratio 2 : 3 : 4, and its perimeter is 45 cm. Find its area. Class 9

The sides of a triangle are in the ratio 2 : 3 : 4, and its perimeter is 45 cm. Find its area. Class

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Class 9 Maths

📄 GuideThe area of a right-angled triangle is 54 sq. cm. One of its legs has length 12 cm. Find its perimeter. Class 9

The area of a right-angled triangle is 54 sq. cm. One of its legs has length 12 cm. Find its perimet

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Class 9 Maths

📄 GuideAn isosceles triangle has base 10 cm, and its area is 60 cm². What are the lengths of the equal sides? Class 9

An isosceles triangle has base 10 cm, and its area is 60 cm². What are the lengths of the equal side

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Class 9 Maths

📄 GuideAn isosceles triangle has perimeter 40 cm; the equal sides are 15 cm each. Find the area of the triangle. Class 9

An isosceles triangle has perimeter 40 cm; the equal sides are 15 cm each. Find the area of the tria

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Class 9 Maths

📄 GuideIdentities in algebra can sometimes be shown as area relationships. For example: Class 9

Identities in algebra can sometimes be shown as area relationships. For example: Class 9In the probl

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Class 9 Maths

📄 GuideA hexagon is inscribed in a circle of radius r. Show that the ratio of the area of the hexagon to the area Class 9

A hexagon is inscribed in a circle of radius r. Show that the ratio of the area of the hexagon to th

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Class 9 Maths

📄 GuideA square is inscribed in a circle of radius r. Show that the ratio of the area of the square to the area of the circle Class 9

A square is inscribed in a circle of radius r. Show that the ratio of the area of the square to the

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Class 9 Maths

📄 GuideAn equilateral triangle is inscribed in a circle of radius r. Show that the ratio of the area of the triangle Class 9

An equilateral triangle is inscribed in a circle of radius r. Show that the ratio of the area of the

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Class 9 Maths

📄 GuideA chord of a circle of radius r subtends an angle of 60° at the centre of the circle. Show that the area Class 9

A chord of a circle of radius r subtends an angle of 60° at the centre of the circle. Show that the

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Class 9 Maths

📄 GuideA car has two wipers which do not overlap. Each wiper has a blade of length 28 cm and sweeps Class 9

A car has two wipers which do not overlap. Each wiper has a blade of length 28 cm and sweeps Class 9

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Class 9 Maths

📄 GuideA chord of a circle of radius 15 cm subtends an angle of 60° at the centre of the circle. Find the areas Class 9

A chord of a circle of radius 15 cm subtends an angle of 60° at the centre of the circle. Find the a

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Class 9 Maths

📄 GuideThe length of the minute hand of a clock is 7 cm. Find the area swept by the minute hand in 10 minutes. Class 9

The length of the minute hand of a clock is 7 cm. Find the area swept by the minute hand in 10 minut

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Class 9 Maths

📄 GuideFind the area of a sector of a circle with radius 7 cm if the angle of the sector is 60°. Class 9

Find the area of a sector of a circle with radius 7 cm if the angle of the sector is 60°. Class 9Unl

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Class 9 Maths

📄 GuideWhy were human beings so fond of using circular shapes? Was this only for practical reasons Class 9

Why were human beings so fond of using circular shapes? Was this only for practical reasons Class 9Q

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Class 9 Maths

📄 GuideIn ∆ABC, D is the midpoint of AB. P is any point on BC, and Q is a point on AB such that CQ || PD. Class 9

In ∆ABC, D is the midpoint of AB. P is any point on BC, and Q is a point on AB such that CQ || PD. C

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Class 9 Maths

📄 GuideGiven a square ABCD, let P be a point within it. Join PA, PB, PC, PD. What is the ratio of the areas Class 9

Given a square ABCD, let P be a point within it. Join PA, PB, PC, PD. What is the ratio of the areas

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Class 9 Maths

📄 GuideIn ∆ABC, the midpoint of BC is D. Median AD is drawn. P is any point on AD. Show that area (∆ABP) Class 9

In ∆ABC, the midpoint of BC is D. Median AD is drawn. P is any point on AD. Show that area (∆ABP) Cl

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Class 9 Maths

📄 GuideIf the mid-points of the sides of a 4-gon also known as a quadrilateral, but we prefer to call it a '4-gon' Class 9

If the mid-points of the sides of a 4-gon also known as a quadrilateral, but we prefer to call it a

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Class 9 Maths

📄 GuideO is any point on the diagonal PR of a parallelogram PQRS. Prove that the areas of triangles Class 9

O is any point on the diagonal PR of a parallelogram PQRS. Prove that the areas of triangles Class 9

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Class 9 Maths

📄 GuideABCD is a parallelogram. P and Q are any two points on side AB. What can you say about the ratio area Class 9

ABCD is a parallelogram. P and Q are any two points on side AB. What can you say about the ratio are

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Class 9 Maths

📄 GuideOne diagonal of a rhombus is twice as long as the other diagonal. If the rhombus has area 128 cm² Class 9

One diagonal of a rhombus is twice as long as the other diagonal. If the rhombus has area 128 cm² Cl

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Class 9 Maths

📄 GuideThe sides of a triangular plot are in the ratio 3 : 5 : 7; its perimeter is 300 m. Find its area. Class 9

The sides of a triangular plot are in the ratio 3 : 5 : 7; its perimeter is 300 m. Find its area. Cl

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Class 9 Maths

📄 GuideFind the area of a triangle, given that its sides are 8 cm and 11 cm long, and its perimeter is 32 cm. Class 9

Find the area of a triangle, given that its sides are 8 cm and 11 cm long, and its perimeter is 32 c

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Class 9 Maths

📄 GuideThe parallel sides of a trapezium are 40 cm and 20 cm. If its non-parallel sides are both equal Class 9

The parallel sides of a trapezium are 40 cm and 20 cm. If its non-parallel sides are both equal Clas

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Class 9 Maths

📄 GuideFind the area of triangle ADE in given figure Class 9

Find the area of triangle ADE in given figure Class 9Question 1.Find the area of triangle ADE in giv

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Class 9 Maths

📄 GuideWhat procedure would you use to square a given triangle? Here, the task is to construct a square Class 9

What procedure would you use to square a given triangle? Here, the task is to construct a square Cla

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Class 9 Maths

📄 GuideThink of various rectangles with perimeter 40 units (the sides do not have to be integers). Class 9

Think of various rectangles with perimeter 40 units (the sides do not have to be integers). Class 9Q

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Class 9 Maths

📄 GuideSince ∆ABD and ∆ACD have equal area, you may wonder - Can we divide ∆ABD using straight cuts Class 9

Since ∆ABD and ∆ACD have equal area, you may wonder - Can we divide ∆ABD using straight cuts Class 9

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Class 9 Maths

📄 GuideThe area of a rectangle can be found when we know the lengths of its sides. Is the same true Class 9

The area of a rectangle can be found when we know the lengths of its sides. Is the same true Class 9

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Class 9 Maths