Question
The area of a circle is 200 square inches. What is approximate measure of its radius?
Use 3.14 for π. Round to the nearest whole number.
*
1 point
Use 3.14 for π. Round to the nearest whole number.
*
1 point
Answers
GPT-4o mini
To find the radius of a circle when the area is given, you can use the formula for the area of a circle:
\[
A = \pi r^2
\]
Given the area \( A = 200 \) square inches and using \( \pi \approx 3.14 \):
\[
200 = 3.14 r^2
\]
Now, solve for \( r^2 \):
\[
r^2 = \frac{200}{3.14} \approx 63.69
\]
Next, take the square root of both sides to find \( r \):
\[
r \approx \sqrt{63.69} \approx 7.98
\]
Rounding to the nearest whole number, the approximate measure of the radius is:
\[
\boxed{8} \text{ inches}
\]
\[
A = \pi r^2
\]
Given the area \( A = 200 \) square inches and using \( \pi \approx 3.14 \):
\[
200 = 3.14 r^2
\]
Now, solve for \( r^2 \):
\[
r^2 = \frac{200}{3.14} \approx 63.69
\]
Next, take the square root of both sides to find \( r \):
\[
r \approx \sqrt{63.69} \approx 7.98
\]
Rounding to the nearest whole number, the approximate measure of the radius is:
\[
\boxed{8} \text{ inches}
\]