The circumference of a circle is 15π centimeters. What is the area of the circle in terms of π?A. 7.5π cm²B. 15π cm²C. 56.25π cm²D. 225π cm²
Accepted Solution
A:
Answer:C. 56.25π cm²Step-by-step explanation:The circumference of a circle is given byC = 2 * pi *r15 pi = 2 * pi *rDivide each side by pi15 = 2rDivide by 215/2 = 2r/27.5 = rWe want to find the areaA = pi r^2A = pi (7.5)^2A = pi *56.25A = 56.25 pi