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