Question

question 20, 6.3.35 part 1 of 2 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 (simplify your answer. type an exact answer in terms of π.)

Explanation:

Step1: Recall the circumference formula

The formula for the circumference of a circle is $C = \pi d$ (where $d$ is the diameter). Given $d = 37$ cm.

Step2: Calculate the exact circumference

Substitute $d = 37$ into the formula, so $C=\pi\times37 = 37\pi$ cm.

Step3: Calculate the approximate circumference

Substitute $\pi\approx3.14$ into the formula. $C\approx3.14\times37= 116.18$ cm.

Answer:

The exact circumference is $37\pi$ cm. The approximate circumference is $116.18$ cm.