Question

Select the correct answer.

Nina bounces on the trampoline in her backyard. If the circumference of the trampoline is 37.68 feet, what is the approximate area that Nina has to
bounce on?
A. 56.52 square feet
113.04 square feet
OC. 131.88 square feet
OD.
149.04 square feet
452.16 square feet
B.
E.

Answer 1

The approximate area that Nina has to bounce on is 113.04 square feet.

Step-by-step explanation:

To find the area of the trampoline, we need to first calculate the radius. The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius. Rearranging the formula gives us r = C / (2π). Substituting the given circumference of 37.68 feet into the formula, we get r ≈ 37.68 / (2 × 3.14) ≈ 6 feet. The area of a circle is given by the formula A = πr^2, so the approximate area of the trampoline is A ≈ 3.14 × 6^2 ≈ 113.04 square feet. Therefore, the correct answer is B. 113.04 square feet.

Learn more about Finding the area of a circle

Answer 2

B. 113.04 square feet

Step-by-step explanation:

You want the area of a circle that has a circumference of 37.68 feet.

Radius

The circumference of a circle is given by ...

C = 2πr

The radius is found by dividing by 2π:

r = C/(2π)

Area

Using this value of radius in the area formula, we have ...

A = πr²

A = π(C/(2π))² = C²/(4π)

The area of the circle with the given circumference is ...

A = 37.68²/(4·3.14) = 113.04 . . . . . square feet

Nina has about 113.04 square feet of area to bounce on, choice B.

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Additional comment

For safety, Nina should avoid bouncing within a foot of the edge of the trampoline. This will restrict her area to about 78.5 square feet.

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