Question

find the circumference of the circle. give the exact circumference and then an approximation. use π≈3.14. the exact circumference of the circle is 122.46 centimeters. (simplify your answer. type an exact answer in terms of π.) one or more of your responses is incorrect. at least one of your answers is incorrect. note that the formula for the circumference of the circle is given by c = 2πr or c = πd, where r is the radius and d is the diameter. substitute the given value of the diameter or the radius and multiply. note the unit of length.

Explanation:

Step1: Identify the formula

The formula for the circumference of a circle is $C = \pi d$ (where $d$ is the diameter). Given $d = 39$ cm.

Step2: Calculate the exact circumference

Substitute $d = 39$ into the formula $C=\pi d$. So the exact circumference $C = 39\pi$ cm.

Step3: Calculate the approximate circumference

Use $\pi\approx3.14$. Then $C\approx39\times3.14 = 122.46$ cm.

Answer:

The exact circumference is $39\pi$ centimeters. The approximate circumference is $122.46$ centimeters.