Questions: Find the area. A=[?] in^2 A=πr^2 Use π=3.14

Find the area. A=[?] in^2 A=πr^2 Use π=3.14
Transcript text: Find the area. \[ \begin{array}{c} \mathrm{A}=[?] \mathrm{in}^{2} \\ \mathrm{~A}=\pi \mathrm{r}^{2} \quad \begin{array}{l} \text { Use } \pi=3.14 \end{array} \end{array} \]
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Solution

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Solution Steps

Step 1: Identify the radius

The given diameter of the circle is 8 inches. The radius (r) is half of the diameter. \[ r = \frac{8}{2} = 4 \text{ inches} \]

Step 2: Use the area formula for a circle

The formula to find the area (A) of a circle is: \[ A = \pi r^2 \] Given \(\pi = 3.14\) and \(r = 4\) inches.

Step 3: Substitute the values into the formula

Substitute \(r = 4\) and \(\pi = 3.14\) into the formula: \[ A = 3.14 \times (4)^2 \]

Step 4: Calculate the area

First, calculate \(4^2\): \[ 4^2 = 16 \] Then multiply by \(\pi\): \[ A = 3.14 \times 16 = 50.24 \]

Final Answer

The area of the circle is: \[ A = 50.24 \text{ in}^2 \]

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