Question
The circumference of a circle is 37.68 kilometers. What is the circle's diameter?
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
Answers
Answered by
GPT 3.5
The formula to find the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.
In this case, we know that the circumference is 37.68 kilometers. Plugging this into the formula, we have:
37.68 = 2πr
To find the radius, we need to isolate r. Divide both sides of the equation by 2π:
37.68 / (2π) = r
Using the approximation π ≈ 3.14, we can calculate r:
37.68 / (2 * 3.14) ≈ r
5.999 ≈ r
Now that we have the radius, we can find the diameter by multiplying the radius by 2:
d = 2 * r
d ≈ 2 * 5.999
d ≈ 11.998
Rounding to the nearest hundredth, the circle's diameter is approximately 11.998 kilometers.
In this case, we know that the circumference is 37.68 kilometers. Plugging this into the formula, we have:
37.68 = 2πr
To find the radius, we need to isolate r. Divide both sides of the equation by 2π:
37.68 / (2π) = r
Using the approximation π ≈ 3.14, we can calculate r:
37.68 / (2 * 3.14) ≈ r
5.999 ≈ r
Now that we have the radius, we can find the diameter by multiplying the radius by 2:
d = 2 * r
d ≈ 2 * 5.999
d ≈ 11.998
Rounding to the nearest hundredth, the circle's diameter is approximately 11.998 kilometers.