Question

The area of the sector of a circle with a radius of 8 centimeters is 125.6 square centimeters. The estimated value of pi is 3.14. the measure of the angle of the sector is

Answer 1

$\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta\pi r^2}{360}\qquad \begin{cases} \theta=\textit{angle in degrees}\\ r=radius\\ ----------\\ r=8\\ A=125.6 \end{cases} \\\\\\ 360A=\theta\pi r^2\implies \cfrac{360A}{\pi r^2}=\theta\implies \cfrac{360\cdot 125.6}{\pi 8^2}=\theta$