Questions: The radius of a circle is 3.5 inches. What is the area of the circle? i=3.14 3.5 sq.inches 21 sq.inches 35.45 sq.inches 38.47 sq.inches

Transcript text: The radius of a circle is 3.5 inches. What is the area of the circle? $i=3.14$ 3.5 sq.inches 21 sq.inches 35.45 sq.inches 38.47 sq.inches

Solution

Solution Steps

Step 1: Identify the given values

The radius of the circle is $ r = 3.5 $ inches, and $ \pi = 3.14 $.

Step 2: Use the formula for the area of a circle

The area $ A $ of a circle is calculated using the formula: \[ A = \pi r^2 \]

Step 3: Substitute the values into the formula

Substitute $ r = 3.5 $ and $ \pi = 3.14 $ into the formula: \[ A = 3.14 \times (3.5)^2 \]

Step 4: Calculate the area

First, calculate $ (3.5)^2 $: \[ (3.5)^2 = 12.25 \] Then multiply by $ \pi $: \[ A = 3.14 \times 12.25 = 38.465 \] Rounding to four significant digits: \[ A = 38.47 \text{ square inches} \]