Question

A circle with radius \pink{10}10start color #ff00af, 10, end color #ff00af has a sector with a central angle of \purple{\dfrac{2}{5}\pi} 5 2 ​ πstart color #9d38bd, start fraction, 2, divided by, 5, end fraction, pi, end color #9d38bd radians . What is the area of the sector? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Answer 1

Answer:

Area of the sector = $20\pi units^{2}$

Step-by-step explanation:

Area of a sector = $\frac{\theta}{360} * \pi r^{2}$

Given radius r = 10units

$\theta = \frac{2\pi}{5}$

$\pi = 3.14$

substituting the given values into the equation above;

Area of the sector = $\frac{2\pi}{5*360} * \pi *10^{2}$

Area of the sector $=\frac{100\pi}{5}$

Area of the sector = $20\pi units^{2}$