Question

a formal garden at the biltmore estate has a large, circular fish pool with a 72 foot radius. what is the distance around the outside edge of the pool? a) 226.1 ft b) 288 ft c) 452.2 ft d) 16,277.8 ft

Explanation:

Step1: Recall the circumference formula

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

Step2: Substitute the given radius

Given \( r = 72 \) feet, substitute into the formula: \( C = 2\times\pi\times72 \)

Step3: Calculate the circumference

First, calculate \( 2\times72 = 144 \), then multiply by \( \pi \) (using \( \pi \approx 3.1416 \)): \( C = 144\times3.1416 \approx 452.2 \) feet.

Answer:

C) 452.2 ft