Question

find the circumference of the following circle. give the exact circumference and then an approximation. use π ≈ 3.14. the exact circumference of the circle is ft. (type an exact answer in terms of π.)

Explanation:

Step1: Recall the formula for the circumference of a circle

The formula for the circumference \( C \) of a circle is \( C = \pi d \), where \( d \) is the diameter of the circle.

Step2: Identify the diameter of the circle

From the diagram, the diameter \( d \) of the circle is 74 ft.

Step3: Calculate the exact circumference

Substitute \( d = 74 \) into the formula \( C=\pi d \). So, \( C = \pi\times74=74\pi \) ft.

Answer:

74π