The circumference of a circle is 1,250 cm. What is the approximate length of the diameter of the circle? A 200 cm B. 300 cm C. 400 cm D. 500 cm
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
Circumference of Circle: 1250 cm
Determine the approximate length of the diameter.
Formula for Circumference:
C=2πr
Solution:
We need first to find the radius of the circle since the diameter of the circle is twice the radius. To find for the radius given the circumference, we solve for the r in terms of C.
C=2πr
r =C/2π
r =1250/2π
r= 198.9 cm
d = 2r
d = 2( 198.9 )
d = 397.8 cm or approximately 400 cm
Final answer:
C. 400 cm