Answer:
176.71 cm
or
56.25π cm
Step-by-step explanation:
The formula for the circumference of a circle is:
C = πd
Where C is the circumference and d is the diameter
Let's substitute the circumference given into this formula:
C = πd
15π = πd
Now, we can solve this equation for d.
Divide by π on both sides:
15π = πd
/π /π
15 = d
Therefore, the diameter is 15 cm.
We need to find the area. The formula for the area of a circle is:
A = πr²
First, let's find the radius. The radius is half of the diameter, so divide the diameter by 2.
15/2 = 7.5
radius = 7.5 cm
Now, we can solve for the area.
Substitute into the formula for area:
A = πr²
A = π(7.5²)
A = π(56.25)
A ≈ 176.71
Therefore, the area is approximately 176.71 cm, or in terms of pi, 56.25π.
