# CBSE Class 10-Mathematics: Chapter – 12 Areas Related to Circles Part 9 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 22**:

In figure, AB and CD are two diameters of a circle (with center O) perpendicular to each other and OD is the diameter of the smaller circle. If , find the area of the shaded region.

**Answer**:

Area of shaded region Area of circle Area of semicircle Area of

**Question 23**:

The area of an equilateral triangle ABC is . With each vertex of the triangle as centre, a circle is drawn with radius equal to half the length of the side of the triangle (see figure) . Find the area of the shaded region.

**Answer**:

Area of equilateral triangle

Area of shaded region Area of

**Question 24**:

On a square handkerchief, nine circular designs each of radius are made (see figure) . Find the area of the remaining portion of the handkerchief.

**Answer**:

Area of remaining portion of handkerchief Area of square ABCD Area of circular designs

**Question 25**:

In figure, OACB is a quadrant of a circle with center O and radius . If , find the area of the:

(i) Quadrant OACB

(ii) Shaded region

**Answer**:

(i) Area of quadrant

(ii) Area of shaded region = Area of quadrant OACB – Area of