A circle has radius 5.9 inches. Using the approximate π≈3.14 approximate what is the the circumference and area, rounded to the nearest hundredth?

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Nov 2, 2017

Answers: #C=37.05# #"in"# and #A=109.30# #"in"^2"#

Explanation:

Given a circle with #r=5.9# and #pi=3.14#, find the circumference and area, rounded to the nearest hundredth.

Note that the circumference of a circle #C=2pir# and the area of a circle #A=pir^2#.

We will now apply these two formulas to find the solutions:
Circumference:
#C=2pir#
#=2(3.14)(5.9)#
#=37.052~~37.05# #"in"#

Area:
#A=pir^2#
#=(3.14)(5.9)^2#
#=109.3034=109.30# #"in"^2"#

Therefore the circumference of the circle is #37.05# #"in"# and the area of the circle is #109.30# #"in"^2"#, rounded to the nearest hundredths.

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