Question

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

Answer 1

Answer:

$Area = 0.785cm^2$

Step-by-step explanation:

Given

$r = 1cm$ -- radius

$\theta = 90^{\circ}$

Required

Determine the area of the sector

This is calculated as:

$Area = \frac{\theta}{360} * \pi r^2$

Substitute values for r and $\theta$

$Area = \frac{90}{360} * \pi * (1)^2$

Simplify 90/360

$Area = \frac{1}{4} * \pi * (1)^2$

$Area = \frac{1}{4} \pi$

Take $\pi$ as 3.14

$Area = \frac{1}{4} * 3.14$

$Area = 0.785cm^2$