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