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

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
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Solution

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Solution Steps

Step 1: Identify the given values

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

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

The area A A of a circle is calculated using the formula: A=πr2 A = \pi r^2

Step 3: Substitute the values into the formula

Substitute r=3.5 r = 3.5 and π=3.14 \pi = 3.14 into the formula: A=3.14×(3.5)2 A = 3.14 \times (3.5)^2

Step 4: Calculate the area

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

Final Answer

The area of the circle is 38.47 square inches\boxed{38.47 \text{ square inches}}. The correct choice is D.

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