Question

Find the area the sector.arc circle 7A. 1083π4 in²B. 1083π8 in²C. 57π4 in²D. 38π in²

Answer 1

Solution:

Given:

A circle with the sector details;

$\begin{gathered} r=19\text{ }in \\ \theta=135^0 \end{gathered}$

The area of a sector is given by;

$\begin{gathered} A=\frac{\theta}{360}\times\pi r^2 \\ A=\frac{135}{360}\times\pi\times19^2 \\ A=\frac{1083\pi}{8}\text{ }in^2 \end{gathered}$

Therefore, the area of the sector is;

$\frac{1083\pi}{8}\text{ }in^2$