The radius of a circle is 4 miles. What is the area of a sector bounded by a 90° arc?

Question

asked Feb 22, 2021 47.7k views

2 Answers

Jaydeep Kataria · Answer 1 · 2021-02-25T13:28:18+0000

Answer:

$\bold{4\pi\ square\ miles\approx12,56\ square\ miles}$

Explanation:

360°:4 = 90° so the area of a sector bounded by a 90° arc is a quarter of area of a circle of the same radius.

$A=\frac14\pi R^2=\frac14\pi\cdot4^2=\frac14\pi\cdot16=4\pi\approx4\cdot3,14=12,56\ square\ miles$