Question

Pleaseeeee help with this! Thank you so much!

Answer 1

Answer:

≈ 7.85 cm

Step-by-step 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 = $\sqrt{225}$ = 15

the arc length is calculated as

arc = circumference × fraction of circle

      = 2πr × $\frac{30}{360}$

      = 2π × 15 × $\frac{1}{12}$

      = 30π × $\frac{1}{12}$

      = $\frac{30\pi }{12}$

      ≈ 7.85 cm ( to 2 dec. places )