Question

The distance from the center of a circular tent to the tent’s edge is 50 feet. Kelly walked around the edge of the tent twice and then straight to the center of the tent. About how far did Kelly walk?

Answer 1

678.32 feet

Explanation:

Circumference=2π(radius)=2·π·50≈314.15927
314.15927·2=628.31854
628.31854+50=678.31854

Answer 2

678 ft (nearest foot)

Explanation:

The distance from the center of a circle its edge is its radius.

Given that the distance from the center of a circular tent to the tent’s edge is 50 ft then:

⇒ radius (r) = 50

The edge of a circle is its circumference

Circumference of a circle =
`2\pi r` (where r is the radius)

Therefore, the circumference of the tent is:

`\implies 2 \cdot \pi \cdot 50=100\pi` ft

If Kelly walked around the edge of the tent twice, then walked straight to the center:

⇒ total distance walked = 2 × circumference + radius

= 2 ×
`100\pi` + 50

= 678.3185307...

= 678 ft (nearest foot)