Question

N=
Help me please!!! Asap thanks so much :)

Answer 1

n = 100

Explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

given A = 40π , then

πr² ×
`(n)/(360)` = 40π

π × 12² ×
`(n)/(360)` = 40π

144π ×
`(n)/(360)` = 40π ( divide both sides by π )

144 ×
`(n)/(360)` = 40 ( multiply both sides by 360 to clear the fraction )

144n = 14400 ( divide both sides by 144 )

n = 100