Question

In circle E with mDEF = 62 and DE = 15 units find area of sector DEF.Round to the nearest hundredth.DFE

Answer 1

The area of a sector may be obtained using the following formula.

`A=r^2\cdot(\theta\pi)/(360)`

where r is the radius DE and θ is the central angle, 62°.

Substitute the values into the equation and then simplify the expression.

`\begin{gathered} A=15^2\cdot(62)/(360)\cdot\pi \\ A\approx225\cdot0.1722\cdot\pi \\ A\approx121.74 \end{gathered}`