The radius of a circle is 1 centimeter. What is the area of a sector bounded by a 90° arc?

Question

asked Nov 5, 2022 221k views

1 Answer

Penang · Answer 1 · 2022-11-11T21:15:33+0000

Answer:

Area = 0.785cm^2

Explanation:

Given

r = 1cm -- radius

$\theta = 90^(\circ)$

Required

Determine the area of the sector

This is calculated as:

$Area = (\theta)/(360) * \pi r^2$

Substitute values for r and
$\theta$

$Area = (90)/(360) * \pi * (1)^2$

Simplify 90/360

$Area = (1)/(4) * \pi * (1)^2$

$Area = (1)/(4) \pi$

Take
$\pi$ as 3.14

Area = (1)/(4) * 3.14

Area = 0.785cm^2