Question

Pleaseeeee help with this! Thank you so much!

Answer 1

≈ 7.85 cm

Explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

given A = 225π , then

πr² = 225π ( divide both sides by π )

r² = 225 ( take square root of both sides )

r =
`√(225)` = 15

the arc length is calculated as

arc = circumference × fraction of circle

= 2πr ×
`(30)/(360)`

= 2π × 15 ×
`(1)/(12)`

= 30π ×
`(1)/(12)`

=
`(30\pi )/(12)`

≈ 7.85 cm ( to 2 dec. places )