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 = [tex]\sqrt{225}[/tex] = 15
the arc length is calculated as
arc = circumference × fraction of circle
= 2πr × [tex]\frac{30}{360}[/tex]
= 2π × 15 × [tex]\frac{1}{12}[/tex]
= 30π × [tex]\frac{1}{12}[/tex]
= [tex]\frac{30\pi }{12}[/tex]
≈ 7.85 cm ( to 2 dec. places )
