What is the diameter of a circle that has a circumference of 42" ?

1 Answer
Apr 1, 2018

Diameter of the Circle #color(blue)(~~13.4"''"#

Explanation:

Formula to find the Circumference of a Circle when the diameter (d) is available is #color(blue)(pi d#.

We are given the Circumference #color(blue)(42"''"#.

We must find the Diameter (d).

Diameter (d) = Circumference/#pi#

Hence, form the equation first.

#pi * d = 42#

#rArr d=42/pi#

#rArr d=42/(22/7)#

#rArr d = 42*(7/22)#

#rArr d ~~ 13.36363636# (using the calculator)

Hence, Diameter of the Circle #color(blue)(~~13.4"''"#.

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Note:

Diameter is a line segment that goes through the center of the circle.

Diameter is twice the radius of the circle.

#pi# is a mathematical constant. Use #22/7# in calculations.

#pi# is the ratio of the circumference of a circle to its diameter.