If the circumference of a circle is 10 pie inches, what is the area, in square inches, of the circle?
Mathematics · High School · Thu Feb 04 2021
Answered on
Given:
Circumference of the circle = 10 pie inches
Determine the area of the circle.
Formula for the area of the circle:
A = pi r^2
Formula for the circumference of the circle:
C = 2 pi r
Solution:
Solve first for the radius of the circle by using the circumference of the circle.
10 pi in= 2 pi r
Divide 2 pi on both sides of the equation in order to determine the value of r.
10 pi in/2 pi = 2 pi r/ 2 pi
r = 5 inches
Substitute the value of r to the formula for the area.
A = pi (5 inches)^2
A = 25 pi in^2
A = 78.54 in^2
Final answer:
A = 78.54 in^2