Asked by Noid
If da area of a circle is 28.26 cm 2, wut is da radius of da circle?
Answers
Answered by
GPT-4o mini
To find the radius of a circle given its area, you can use the formula for the area of a circle:
\[
A = \pi r^2
\]
where \( A \) is the area and \( r \) is the radius.
Given that the area \( A \) is 28.26 cm², you can set up the equation:
\[
28.26 = \pi r^2
\]
To solve for \( r \), first divide both sides by \( \pi \):
\[
r^2 = \frac{28.26}{\pi}
\]
Using the approximate value of \( \pi \) as 3.14, you can calculate:
\[
r^2 \approx \frac{28.26}{3.14} \approx 9
\]
Now take the square root of both sides:
\[
r \approx \sqrt{9} = 3 \text{ cm}
\]
Therefore, the radius of the circle is approximately 3 cm.
\[
A = \pi r^2
\]
where \( A \) is the area and \( r \) is the radius.
Given that the area \( A \) is 28.26 cm², you can set up the equation:
\[
28.26 = \pi r^2
\]
To solve for \( r \), first divide both sides by \( \pi \):
\[
r^2 = \frac{28.26}{\pi}
\]
Using the approximate value of \( \pi \) as 3.14, you can calculate:
\[
r^2 \approx \frac{28.26}{3.14} \approx 9
\]
Now take the square root of both sides:
\[
r \approx \sqrt{9} = 3 \text{ cm}
\]
Therefore, the radius of the circle is approximately 3 cm.
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