Question

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

Answer 1

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=(\theta)/(360)*\pi r^2 \\ A=(135)/(360)*\pi*19^2 \\ A=(1083\pi)/(8)\text{ }in^2 \end{gathered}`

Therefore, the area of the sector is;

`(1083\pi)/(8)\text{ }in^2`