Question

In circle P with mZN PQ 104 and NP-9 units find area of sector NPQ. Round to the nearest hundredth. N Р

Answer 1

73.48 units²

Explanation:

Area of a sector = θ/360 × πr²

θ = 104°

π = 3.14

r = radius = NP

r = 9 units

$\text{Area of sector = }\frac{104}{360}\times3.14\times9^2$$\begin{gathered} \text{Area of sector = }\frac{13}{45}\times3.14\times81 \\ \text{Area of sector = 73.476} \end{gathered}$

The area of sector the the nearest hundredth is 73.48 units²