Answer:
The area of the circle is 56.25π cm²
Explanation:
- The formula of the circumference of a circle is C = 2πr, where r is the radius of the circle
- The formula of the area of a circle with radius r is A = πr²
To find the area of the circle use the formula of the circumference to find its radius and then use the formula of the area to find its area
∵ The circumference of a circle is 15π centimeters
∵ C = 2πr
- Equate 2πr by 15π
∴ 2πr = 15π
- Divide both sides by π
∴ 2 r = 15
- Divide both sides by 2
∴ r = 7.5 centimeters
Now let us use the rule of the area to find it
∵ A = πr²
∴ A = π(7.5)²
∴ A = 56.25π centimeters²
The area of the circle is 56.25π cm²