Question

A dog on a 5-foot leash runs around in one full circle while its owner stands still. Which is closest to the distance the dog went?

Answer 1

The distance closest to the distance the dog went is 31.42 ft

Since the dog moves around in one full circle, the distance the dog moves is the circumference of a circle.

Circumference of a circle

The circumference of a circle C = 2πr where r = radius of circle.

Now r = length of leash = 5 foot

So, substituting r into the equation, we have

C = 2πr

C = 2π × 5 ft

C = 10π ft

C = 10 × 3.142 ft

C = 31.42 ft

So, the distance closest to the distance the dog went is 31.42 ft

Learn more about circumference of a circle here:

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