Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

circumference of a circle is 25.12 feet. what is the circle’s area? c =…

Question

circumference of a circle is 25.12 feet. what is the circle’s area?
c = 25.12 ft
round your answer to the nearest hundredth.
square feet

Explanation:

Step1: Find radius using circumference

Circumference formula: $C = 2\pi r$. Solve for $r$: $r = \frac{C}{2\pi} = \frac{25.12}{2\times3.14} = 4$ ft.

Step2: Calculate area with radius

Area formula: $A = \pi r^2$. Substitute $r=4$: $A = 3.14\times4^2 = 3.14\times16 = 50.24$ sq ft.

Answer:

50.24 square feet