Question #0085d

1 Answer
Jarni Renz
Jan 4, 2018

#="Circumference of the circle"#

Explanation:

The formulas of the Circumference of the Circle #(C)#, the Perimeter of the Rectangle #(P)# and the conditions provided herein are the following:

#"Formulas"#
#C=2Pir#
#P=2(L+W)#

#"Conditions"#
#L=d=2r#
#W=r=d/2#
Knowing the formulas and the conditions provided herein help analyze and solve the problem. Plugging in the values to the formulas in terms of #r#; i.e.,

#"Circumference of the Circle"#
#C=2Pir#
where:
#Pi~~3.1416#
#C=(2)(3.1416)(r)#
#color(red)(C=6.2832r#

#"Perimeter of the Rectangle"#
#P=2(L+W)#
#P=2(2r+r)#
#P=2(3r)#
#color(blue)(P=6r#

Therefore, the #"Circumference of the Circle"# is 4.72% greater than the #"Perimeter of the Rectangle"#.

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