Given below is a semicircle of diameter 12cm which encloses two other semicircles. Find the area of shaded region.

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Solution

Area of shaded region= Area of outer semicircle- Areas of inner semicircles

= $\frac{π}{2} 6^{2} - \frac{π}{2} 3^{2} - \frac{π}{2} 3^{2}$

= 56.52 – 28.28 = 28.24 $c m^{2}$

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Given below is a semicircle of diameter 12cm which encloses two other semicircles. Find the area of shaded region.

Area of shaded region= Area of outer semicircle- Areas of inner semicircles = π262−π232−π232 = 56.52 – 28.28 = 28.24 cm2

Area of shaded region= Area of outer semicircle- Areas of inner semicircles

= $\frac{π}{2} 6^{2} - \frac{π}{2} 3^{2} - \frac{π}{2} 3^{2}$

= 56.52 – 28.28 = 28.24 $c m^{2}$