If the circumference of a circle is 502.4 cm, what is the area of the circle? Use 3.14 for pi.
A. 80,384 cm2
B. 80 cm2
C. 160 cm2
D. 20,096 cm2
D. 20,096 cm2
To find the area of a circle, you can use the formula A = πr² where π is the constant pi (3.14) and r is the radius of the circle.
First, you need to find the radius of the circle using the circumference formula, C = 2πr.
502.4 = 2(3.14)r
502.4 = 6.28r
r = 502.4 / 6.28
r = 80 cm
Now, substitute the radius into the area formula:
A = 3.14 x (80)²
A ≈ 3.14 x 6400
A ≈ 20,096 cm2
Therefore, the area of the circle is 20,096 cm2.