Find the area of the shaded …
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Posted by Soumya Soumya 2 years, 11 months ago
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Preeti Dabral 2 years, 11 months ago
Radius of the larger semicircle 14 cm
{tex}\therefore {/tex} Area of the larger semicircle
{tex}= \frac { 1 } { 2 } \pi ( 14 ) ^ { 2 } = \frac { 1 } { 2 } \times \frac { 22 } { 7 } \times 196{/tex}
{tex}= 308 \mathrm { cm } ^ { 2 }{/tex}
Radius of each smaller semicircle = 7 cm
{tex}\therefore {/tex} Area of two smaller semicircles
{tex}= 2 \left[ \frac { 1 } { 2 } \times \pi ( 7 ) ^ { 2 } \right]{/tex}
{tex}= \frac { 22 } { 7 } \times ( 7 ) ^ { 2 } = 154 \mathrm { cm } ^ { 2 }{/tex}
{tex}\therefore {/tex} The area of the shaded region
{tex}= 308 \mathrm { cm } ^ { 2 } + 154 \mathrm { cm } ^ { 2 } = 462 \mathrm { cm } ^ { 2 }{/tex}
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