Answer:
56.25π cm^2
Step-by-step explanation:
circumference = 15π
diameter*π = circumference
diameter = 15π/π
radius*2 = diameter
radius*2 = 15
radius = 7.5
area = π*radius^2
area = π*7.5^2
area = 56.25π
Answer:
A = 56.25π cm²
Step-by-step explanation:
the area (A) of a circle is calculated as
A = πr² ( r is the radius )
to find r use the circumference formula
C = 2πr
given C = 15π , then
2πr = 15π ( divide both sides by 2π )
r = 7.5 cm
then
A = π × 7.5² = 56.25π cm²
