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.

Area of 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.

Area of Equilateral Triangle

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.

On a Square 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

Find the Area of Quadrant

Answer:

(i) Area of quadrant

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