Question

What is the area of a sector with measure of arc equal to 90° and radius equal to 1 foot? 0.25 sq. ft. 0.5 sq. ft. sq. ft.

Answer 1

If the sector 90º it means it's a quadrant (quarter of a circle) since:

360 / 4 = 90

The formula to finding the area of a quadrant is:

$a = \frac{1}{4} \pi r^{2}$

$A = \frac{1}{4} \pi 1^{2}$

$A = \frac{1}{4}\pi * 1$

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

$A = \frac{1}{4} * 3,14$

$A = \frac{3,14}{4}$

$A = 0,785~sq.~ft.$

Answer:

$\boxed{\bf~The~area~of~the~quadrant~is~0,785~ft.^{2}}$

Hope it helped,

BioTeacher101