HARD
9th Kerala Board
IMPORTANT
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In a circle, the length of an arc of central angle 25° is 4 centimetres. In a circle of radius one and a half times the radius of this circle, what is the length of an arc of central angle 75°? Write the answer in centimetres.

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Important Questions on Circle Measures

MEDIUM
9th Kerala Board
IMPORTANT
From a bangle of radius 3 centimetres, a piece is to be cut out to make a ring of radius 12 centimetres. What should be the central angle of the piece to be cut out? Write the answer in number of degrees °.
MEDIUM
9th Kerala Board
IMPORTANT
From a bangle of radius 3 centimetres, a piece is to be cut out to make a ring of radius 12 centimetres. The remaining part of the bangle was bent to make a smaller bangle. What is its radius? Write the answer in centimetres.
HARD
9th Kerala Board
IMPORTANT

The picture shows the parts of a circle centered at each vertex of an equilateral triangle and passing through the other two vertices. What is the perimeter of this figure? Write the answer in centimetres.

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HARD
9th Kerala Board
IMPORTANT

Parts of circles are drawn, centered at each vertex of a regular octagon and a figure is cut out as shown below:

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Calculate the perimeter of the figure. Write the answer without unit and up to 2 decimal places. Take π=3.14

 

MEDIUM
9th Kerala Board
IMPORTANT
What is the area of a sector of central angle 120° in a circle of radius 3 centimetres? What is the area of a sector of the same central angle in a circle of radius 6 centimetres? Write the answers in cm2. Take π=3.14
HARD
9th Kerala Board
IMPORTANT

Calculate the area of the green-colored part of this picture. 

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HARD
9th Kerala Board
IMPORTANT

Centered at each corner of a regular hexagon, a part of a circle is drawn and a figure is cut out as shown below:

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What is the area of this figure? Write the answer without unit and up to 3 decimal places. Take π=3.14, 3=1.732.

HARD
9th Kerala Board
IMPORTANT

The picture below shows two circles, each passing through the center of the other:

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Calculate the area of the region common to both. Write the answer in cm2.