The adjacent figure consists of four small semi-circles of equal radii and two big semi-circles of equal radii each $42 c m$ . Find the area of the shaded region

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Solution

Area of shaded region $= 2 \times a r e a (A O B P A)$

Area $A O B P A$ = Area of small semi-circle + Area of large semi-circle - Area of small semi-circle

= Area of large semi-circle = $\frac{1}{2} \times \frac{22}{7} \times 42 \times 42 = 2772 {c m}^{2}$

$∴$ Area of shaded region = $2 \times 2772$ = $5544 {c m}^{2}$

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The adjacent figure consists of four small semi-circles of equal radii and two big semi-circles of equal radii each 42cm. Find the area of the shaded region

Area of shaded region =2×area(AOBPA)Area AOBPA = Area of small semi-circle + Area of large semi-circle - Area of small semi-circle = Area of large semi-circle = 12×227×42×42=2772cm2∴ Area of shaded region = 2×2772 = 5544cm2

The adjacent figure consists of four small semi-circles of equal radii and two big semi-circles of equal radii each $42 c m$ . Find the area of the shaded region