Question

The circumference of a circle is 15pie centimeters. What is the area of the circle in terms

Answer 1

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.