Find the area if the circumference is 31.4. Please state the problem with complete sentences.
Mathematics · College · Thu Feb 04 2021
Answered on
Given:
Circumference of the circle = 31.4
Find the area of the circle.
Formula for the area of the circle:
A = πr^2
Formula for the circumference of the circle:
C = 2πr
Solution:
Solve first for r, in terms of C.
C = 2πr
31.4 = 2πr
Divide both sides by 2π.
31.4/2π = 2πr/2π
r = 5
Substitute the value of r in the formula for the area of the circle.
A = πr^2
A = π(31.4)^2
A = 98.64 square units
Final answer:
A = 98.64 square units