# 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 .

**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.

**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