g The circumference of a circle is 268.53 m. What is the approximate area of the circle? Use 3.14 for pi.
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given:
Circumference of the circle = 286.53m
Find the area of the circle.
Formula for the area of the circle:
A = π r²
Formula for the circumference of the circle:
C = 2πr
Solution:
In order to find the area of the circle, we must first determine the radius by solving for r in terms of the circumference.
C = 2πr
r = C/2π
r = 286.53/2π
r = 45.6m
Substitute the given value of the radius to the formula for the area of the circle.
A = π r²
A = π (45.6m)²
A = 6,533.3 m^2
Final answer:
A = 6,533.3 m^2