Question

Question #0085d

Answer 1

`="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"`.