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What is the circumference of a circle with a radius of 7 inches? Round your answer to the nearest inch.

A. 44 in
B. 21 in
C. 41 in
D. 14 in


Sagot :

To find the circumference of a circle with a radius of 7 inches, we start by using the formula for the circumference of a circle, which is:

[tex]\[ C = 2 \pi r \][/tex]

where [tex]\( C \)[/tex] is the circumference, [tex]\( \pi \)[/tex] (Pi) is approximately 3.14159, and [tex]\( r \)[/tex] is the radius of the circle.

1. Given the radius [tex]\( r = 7 \)[/tex] inches.
2. Substitute the radius into the formula:

[tex]\[ C = 2 \pi \times 7 \][/tex]

3. Calculate the exact circumference:

[tex]\[ C \approx 2 \times 3.14159 \times 7 \approx 43.982297150257104 \][/tex]

4. Finally, we round this result to the nearest inch.

[tex]\[ \approx 44 \][/tex]

So, the circumference of the circle is approximately 44 inches when rounded to the nearest inch.

Therefore, the correct answer is:

A. 44 in