Question

Jim is swimming part of a lap around his 100-foot diameter pool. If he swims around the outside edge, how far does he swim if he travels a 60° arc, rounded to the nearest foot? Use 3.14 for pi.

Answer 1

Jim swims approximately 52 feet when he travels a 60° arc around the outside edge of the pool.

Step-by-step explanation:

To find the distance Jim swims if he travels a 60° arc around the outside edge of the pool, we need to find the circumference of the circle.

Given that the pool has a 100-foot diameter, the radius is half of that, which is 50 feet. The formula for circumference is C = 2πr, where π is approximately 3.14. Plugging in the values, we get:

C = 2 x 3.14 x 50 = 314 feet

Since Jim is swimming a 60° arc, the distance he swims is 60/360 of the full circumference:

Distance = (60/360) x 314 = 52.333 feet (rounded to the nearest foot)