Question

A circular pond has a circumference of 628 feet. A model boat is moving directly across the pond to the center. Find the distance the boat traveled to get to the center of the pond

Answer 1

Answer:

100 feet

Step-by-step explanation:

The general formula for the circumference of a circle is:

C = 2π(r) where 'r' is the radius, or distance from the outside of the circle to the center.  Given the circumference of the pon as 628 feet, we can solve for the radius, or distance the boat traveled to the center of the pond:

628 = 2π(r)

Divide by 2: 628/2 = 2πr/2 or 314 = πr

Divide by π (3.14) = 314/3.14 = πr/3.14

solve for r: r = 100 ft