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 π=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=πr2
Step 3: Substitute the values into the formula
Substitute r=3.5 and π=3.14 into the formula:
A=3.14×(3.5)2
Step 4: Calculate the area
First, calculate (3.5)2:
(3.5)2=12.25
Then multiply by π:
A=3.14×12.25=38.465
Rounding to four significant digits:
A=38.47 square inches
Final Answer
The area of the circle is 38.47 square inches. The correct choice is D.