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

Answer:

The diameter of the arena is 18.3 meters.

Step-by-step explanation:

        As,  14 laps = $\frac{1}{2}$ mile

        so, 1 lap = $\frac{1}{28}$ mile                               ( ∵14 × 2 = 28)

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

            perimeter (P) =  $\frac{1}{28}$ mile

let diameter of that circle be represented as d,

                                  P=  $\pi$ × d

                            or,  $\frac{1}{28}$  = $\pi$ × d

                            or, d= $\frac{1}{28\pi }$

                              ∴ d= 18.3 meters.

The diameter of the arena is 18.3 meters.