Find the area of the sector if m∠ A = π 10 and the circle has a radius of 20 inches.
Answer :
Area of the sector = 62.85 inches²
Step-by-step explanation:
\(\text{Given : }m\angle A = \frac{\pi}{10}\text{ , Radius = 20 inches.}\)
To find : Area of the sector
Solution :
\(m\angle A = \frac{\pi}{10}\\\\\implies m\angle A=\frac{180}{10}=18\)
Area of sector can be found by using the formula :
\(\text{Area of sector = }\frac{\theta}{360}\times \pi\times Radius^2 \\\\\implies Area = \frac{18}{360}\times \frac{22}{7}\times 20^2\\\\\implies Area=\frac{22}{7}\times 20\\\\\implies Area= 62.85\text{ square inches}\)
Hence, Area of the sector = 62.85 inches²