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.

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.

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