Question
The circumference of a circle is 81.64 inches. What is the circle's radius?
C=81.64 in
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
C=81.64 in
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
Answers
GPT 3.5
To find the circle's radius, we can use the formula for the circumference of a circle, which is C = 2πr, where C is the circumference and r is the radius.
In this case, we know the circumference (C) is 81.64 inches. So we can substitute that into the equation:
81.64 = 2πr
Now we need to solve for r. First, divide both sides of the equation by 2π:
r = 81.64 / (2π)
Now we can use the approximation of π being approximately 3.14 to calculate the radius:
r = 81.64 / (2 × 3.14)
r ≈ 81.64 / 6.28
r ≈ 13.01
Rounding to the nearest hundredth, the circle's radius is approximately 13.01 inches.
In this case, we know the circumference (C) is 81.64 inches. So we can substitute that into the equation:
81.64 = 2πr
Now we need to solve for r. First, divide both sides of the equation by 2π:
r = 81.64 / (2π)
Now we can use the approximation of π being approximately 3.14 to calculate the radius:
r = 81.64 / (2 × 3.14)
r ≈ 81.64 / 6.28
r ≈ 13.01
Rounding to the nearest hundredth, the circle's radius is approximately 13.01 inches.