a quarter has a diameter of 2.4 m . what is it's circumference in cm
Mathematics · High School · Tue Nov 03 2020
Answered on
Given:
Quarter with a diameter of 2.4 m
Determine it Circumference in cm.
Formula for circumference:
C=2πr
Solution:
Since in order to solve for the circumference we need the radius, we must first determine what the radius is.
Diameter is equal to twice the radius.
d = 2r
r =d/2
r = 2.4/2
r = 1.2 m
Since we need to answer in cm, we convert m to cm.
1m = 100 cm
=( 1.2m)(100cm/1m)
The unit m cancels leaving behind cm.
r= 120 cm
Now we can solve the circumference of the quarter by substituting the given value of the radius that was derived from the diameter.
C=2πr
C=2π(120 cm)
C=240π cm
C = 754 cm
Final answer:
The circumference of the quarter is 754 cm.