The area of a circle is 28.26 square centimeters. What is its diameter (use 3.14 for ð)?

Mathematics · High School · Thu Feb 04 2021

Answered on

Given:

Area of circle = 28.26 cm^2

Determine the diameter of the circle.

Formula for the area of the cirlce:

A = π r²

Formula for diameter:

d = 2r

Solution:

Solve first for the radius.

28.26cm^2 = π r²

Divide both sides by pi then square both sides to determine the value of r.

(28.26cm^2/π )½  = ( r² )^½

r = 3 cm

d = 2r

d = (2)(3cm)

d = 6 cm

Final answer:

d = 6 cm