Question

How would I find the measure of y for this problem?

Answer 1

$\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta\pi r^2}{360}\qquad \begin{cases} \theta=\textit{angle in degrees}\\ r=radius\\ ----------\\ A=2.62\\ r=10 \end{cases}\implies 2.62=\cfrac{\theta\cdot \pi \cdot 10^2}{360}$

$\bf 2.62=\cfrac{\theta\cdot \pi \cdot 10^2}{360}\implies 2.62\cdot 360=\theta\pi \cdot 100\implies \cfrac{2.62\cdot 360}{100\pi }=\theta$