Question

Madison is riding her horse around the outside of a circular arena.she knows 14 laps is 1/2 a mile what is the diameter of the arena

Answer 1

The diameter of the arena is 18.3 meters.

Explanation:

As, 14 laps =
`(1)/(2)` mile

so, 1 lap =
`(1)/(28)` mile ( ∵14 × 2 = 28)

For the horse completing one lap it completes the perimeter of the circle.

perimeter (P) =
`(1)/(28)` mile

let diameter of that circle be represented as d,

P=
`\pi` × d

or,
`(1)/(28)` =
`\pi` × d

or, d=
`(1)/(28\pi )`

∴ d= 18.3 meters.

The diameter of the arena is 18.3 meters.