Rachel’s trampoline has a circumference of 50.24 feet. What is the area of Rachel’s trampoline? Use 3.14 as pie.

For a trampoline with a circumference of 50.24 feet, we first calculate the radius: r = 50.24 / (2π) ≈ 8 feet. We then input this radius into the formula for area to find the area of the trampoline: A = π * (8)² ≈ 201 square feet.

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msm555 msm555 · Answer 2 · 2024-01-07T22:29:51+01:00

Answer:

200.96 square feet

Step-by-step explanation:

To find the area of Rachel's trampoline, we need to use the formula for the area of a circle, which is given by:

[tex]\sf \textsf{Area} = \pi \times \left(\dfrac{\textsf{Circumference}}{2 \times \pi}\right)^2 [/tex]

where:

[tex]\sf \pi[/tex] is the mathematical constant (pi), approximately equal to 3.14,
[tex]\sf \textsf{Circumference}[/tex] is the circumference of the circle.

In this case, the given circumference is 50.24 feet.

Substitute this value into the formula:

[tex]\sf \textsf{Area} = 3.14 \times \left(\dfrac{50.24}{2 \times 3.14}\right)^2 [/tex]

Now, calculate the area:

[tex]\sf \textsf{Area} = 3.14 \times \left(\dfrac{25.12}{3.14}\right)^2 [/tex]

[tex]\sf \textsf{Area} = 3.14 \times (8)^2 [/tex]

[tex]\sf \textsf{Area} = 3.14 \times 64 [/tex]

[tex]\sf \textsf{Area} = 200.96 \, \textsf{square feet} [/tex]

So, the area of Rachel's trampoline is approximately 200.96 square feet.