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Chapter 9: Problem 16

Solve. Use 3.14 for \(\pi\) The standard backyard trampoline has a diameter of \(14 \mathrm{ft}\). What is its area?

Short Answer

Expert verified
153.86 \text{ft}^2.

Step by step solution

01

Understand the Problem

The goal is to find the area of a circular trampoline given its diameter. The formula for the area of a circle is \(\text{Area} = \pi r^2\).
02

Find the Radius

The diameter of the trampoline is \(14 \text{ft}\). The radius \(r\) is half of the diameter. \(\text{r} = \frac{14}{2} = 7 \text{ft}\).
03

Apply the Formula

Use the area formula for a circle, substituting the values into \(\text{Area} = \pi r^2\). Using \pi = 3.14\(\text{Area} = 3.14 \times 7^2\).
04

Calculate the Area

Calculate \(7^2 = 49\). Then multiply by \(3.14\): \(3.14 \times 49\). The area \(A = 153.86 \text{ft}^2\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Circumference
The circumference of a circle is the distance around the edge of the circle. It can be thought of as the circle's

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