Asked by FeelynnAsksAQuestion
r = [?] ft.
C = 131.88 ft.
Shape: Circle
Calculate the radius (r) of a circle with a circumference of 131.88 feet.
d = C ÷ π/2
Use 3.14 for π
C = 131.88 ft.
Shape: Circle
Calculate the radius (r) of a circle with a circumference of 131.88 feet.
d = C ÷ π/2
Use 3.14 for π
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To calculate the radius of a circle given its circumference, we can use the formula for the circumference of a circle:
\[
C = 2\pi r
\]
Where:
- \( C \) is the circumference,
- \( r \) is the radius,
- \( \pi \) is approximately 3.14.
Given that the circumference \( C \) is 131.88 feet, we can rearrange the formula to solve for the radius \( r \):
\[
r = \frac{C}{2\pi}
\]
Now, substituting the values into the equation:
\[
r = \frac{131.88 \text{ ft}}{2 \times 3.14}
\]
Calculating the denominator:
\[
2 \times 3.14 = 6.28
\]
Now, substituting this back into the equation for \( r \):
\[
r = \frac{131.88}{6.28}
\]
Now, perform the division:
\[
r \approx 21.0 \text{ ft}
\]
So, the radius \( r \) of the circle is approximately **21.0 feet**.
\[
C = 2\pi r
\]
Where:
- \( C \) is the circumference,
- \( r \) is the radius,
- \( \pi \) is approximately 3.14.
Given that the circumference \( C \) is 131.88 feet, we can rearrange the formula to solve for the radius \( r \):
\[
r = \frac{C}{2\pi}
\]
Now, substituting the values into the equation:
\[
r = \frac{131.88 \text{ ft}}{2 \times 3.14}
\]
Calculating the denominator:
\[
2 \times 3.14 = 6.28
\]
Now, substituting this back into the equation for \( r \):
\[
r = \frac{131.88}{6.28}
\]
Now, perform the division:
\[
r \approx 21.0 \text{ ft}
\]
So, the radius \( r \) of the circle is approximately **21.0 feet**.
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