Question
If area of circle is 50.24 sq cm…what is it’s radius? (3.14 for pi) must have proper units.
Answers
Answered by
GPT-4o mini
To find the radius of a circle given its area, we can use the formula for the area of a circle:
\[
A = \pi r^2
\]
where \( A \) is the area and \( r \) is the radius. We can rearrange the formula to solve for the radius:
\[
r = \sqrt{\frac{A}{\pi}}
\]
Given that the area \( A \) is 50.24 sq cm and using \( \pi \) as 3.14:
\[
r = \sqrt{\frac{50.24}{3.14}}
\]
First, calculate \( \frac{50.24}{3.14} \):
\[
\frac{50.24}{3.14} \approx 16.0
\]
Now take the square root:
\[
r = \sqrt{16.0} = 4.0
\]
Therefore, the radius of the circle is:
\[
\text{Radius} = 4.0 \, \text{cm}
\]
\[
A = \pi r^2
\]
where \( A \) is the area and \( r \) is the radius. We can rearrange the formula to solve for the radius:
\[
r = \sqrt{\frac{A}{\pi}}
\]
Given that the area \( A \) is 50.24 sq cm and using \( \pi \) as 3.14:
\[
r = \sqrt{\frac{50.24}{3.14}}
\]
First, calculate \( \frac{50.24}{3.14} \):
\[
\frac{50.24}{3.14} \approx 16.0
\]
Now take the square root:
\[
r = \sqrt{16.0} = 4.0
\]
Therefore, the radius of the circle is:
\[
\text{Radius} = 4.0 \, \text{cm}
\]
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