Question

Carmen got a round trampoline with an area of 432 cm squared. Her purchase came with a cover for her trampoline. What is the length of the cover that came with Carmen’s trampoline? Use 3.14 for π(pi).
a. 73.66 cm
b. 37.31 cm
c. 137.60 cm
d. 11.63 cm

Answer 1

Answer:

73.66 cm

Step-by-step explanation:

The area of a round trampoline is 432 cm².

We need to find the length of the cover that came with Carmen’s trampoline.

The formula for the area of a circle is given by :

A = πr²

Where

r is radius of round trampoline

$r=\sqrt{\dfrac{A}{\pi}} \\\\r=\sqrt{\dfrac{432}{3.14}} \\\\r=11.72\ cm$

To find the length of the cover, we find the perimeter of Carmen’s trampoline.

Perimeter = Circumference

$C=2\pi r\\\\C=2\times 3.14\times 11.72\\\\C=73.6\ cm$

So, the correct option is (a) "73.66 cm".