Question

⑤ what is the circumference of a circle with a radius of 7\frac{1}{2} feet? write your answer in terms of \pi and rounded to the nearest hundredth.
in terms of \pi:
rounded:

Explanation:

Step1: Recall the formula for the circumference of a circle

The formula for the circumference \( C \) of a circle with radius \( r \) is \( C = 2\pi r \).

Step2: Substitute the given radius into the formula

The radius \( r = 7\frac{1}{2} \) feet, which is equal to \( 7.5 \) feet. Substituting \( r = 7.5 \) into the formula \( C = 2\pi r \), we get \( C = 2\pi\times7.5 \).

Step3: Simplify the expression

\( 2\times7.5 = 15 \), so \( C = 15\pi \) (in terms of \( \pi \)).

Step4: Calculate the numerical value (rounded to the nearest hundredth)

Using \( \pi\approx3.14159 \), we have \( C = 15\times3.14159 \approx 47.12 \).

Answer:

In terms of \( \pi \): \( 15\pi \) feet
Rounded: \( 47.12 \) feet