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 = (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

Answer 2

0.25pi sq. ft.

Step-by-step explanation:HOPE IT HELPS