Question

A sector of a circle is created from a central angle with a measure of 45°. If the diameter of the circle is 10 inches what is the area of the sector? O 3.125 in 6.25 in? 12.55 in 1.25 in?

Answer 1

Area of the sector is given by

$A\text{ = }\frac{\emptyset}{360}\text{ x }\pi r^2$

r = diameter /2 = 10/2 inches = 5 inches

$\emptyset=45^0$

$\begin{gathered} A\text{ =}\frac{45}{360}\text{ x }\pi\text{ x 5 x 5} \\ \\ A\text{ = }\frac{1125\text{ }\pi}{360} \\ \\ A\text{ = }3.125\text{ }\pi \end{gathered}$

Option A is correct