Question

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Answer 1

Answer

Hope it will help you

Answer 2

Given :

• Radius of circle = 12 cm
• Angle between radius = 120°
• π = 3.14
• √3 = 1.73

To Find :

• Area of corresponding segment of the circle

Solution :

$\boxed{\boxed {\bf \blue{Area \: of \: segment = \pi {r}^{2} \frac{ \theta}{360} - \frac{1}{2} \sin \theta {r}^{2} }}} \\ \\ \implies \sf \pi \times {(12)}^{2} \times \frac{120}{360} - \frac{1}{2} \sin120 \times {(12)}^{2} \\ \\ \implies \sf\pi \times \cancel{144} \times \frac{1}{ \cancel{3}} - \frac{1}{ \cancel{2}} \times \frac{ \sqrt{3} }{ \cancel{2}} \times \cancel{144} \\ \\ \implies \sf48\pi - 36 \sqrt{3} \\ \\\implies \sf48 \times 3.14 - 36 \times 1.73 \\ \\ \implies \sf150.72 - 62.28 \\ \\ \implies \sf88.44 \: {cm}^{2}$

$\large \boxed{ \bf \green{Area \: of \: segment = 88.44 \: {cm}^{2} }}$