14.9k views
4 votes
In circle E with mZDEF = 62 and DE = 15 units find area of sector DEF. Round to the nearest hundredth. D F E

User Chocksmith
by
4.7k points

1 Answer

4 votes

\begin{gathered} \text{Radius of the circle= DE=}15\text{ units} \\ \text{Angle of sector DEF = 62}^0 \\ \text{Area of sector = }(\theta)/(360)\text{ x }\pi r^2 \\ \text{Area = }(62)/(360)\text{ x 3.14 x 15 x 15} \\ =121.675 \\ \approx121.68\text{ square units ( nearest hundredth)} \end{gathered}

User Kunal
by
4.2k points