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.

Question

asked Jan 16, 2019 164k views

2 Answers

Melebius · Answer 1 · 2019-01-17T23:42:34+0000

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:

$a = (1)/(4) \pi r^(2)$

$A = (1)/(4) \pi 1^(2)$

$A = (1)/(4)\pi * 1$

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

A = (1)/(4) * 3,14

A = (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