CBSE Class 10-Mathematics: Chapter – 12 Areas Related to Circles Part 12 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 33:

Find the area of a quadrant of a circle whose circumference is .

Answer:

Circumference

Quadrant of circle will subtend angle at the centre of the circle.

Area of such quadrant of the circle

Question 34:

Find the area of the shaded region where ABCD is a square of side .

Area of Square

Answer:

Area of square

Diameter of each circle

Area of circles

Area of shaded region Area of square – Area of circles

Question 35:

The radius of a radius of a circle is . Three more concentric circles are drawn inside it in such a manner that it is divided into four parts of equal area. Find the radius of the largest of the three concentric circles.

Answer:

Let r be the radius of the largest of the three circles

Area of largest circle [area of given circle]

Question 36:

OACB is a quadrant of a circle with center O and radius . If , then find area of shaded region.

Area of Quadrant

Answer:

Area of quadrant

Area of shaded region Area of quadrant

Question 37:

A pendulum swings through on angle of and describes an arc 8.8 cm in length. Find the length of pendulum.

Answer:

Let be the length of pendulum

A Pendulum Swings through on Angle

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