The Maxair amusement park ride consists of a circular ring that holds 50 riders. Suppose that the center of the ride is at the o

Question

Taya2010 [7]

2 years ago

7

The Maxair amusement park ride consists of a circular ring that holds 50 riders. Suppose that the center of the ride is at the o

rigin and that one of the riders on the circular ring is at (16, 15.1). If one unit on the coordinate plane equals 1 foot, give an approximation of the circumference of the ride to the nearest foot.

Mathematics

1 answer:

Trava [24] · Answer 1 · 2023-10-06T21:36:57+03:00

The approximation of the circumference of the ride is 138 feet to the nearest foot

<h3>How to determine the circumference?</h3>

The given parameters are:

Center (a,b) = (0,0) i.e. the origin
A circular ring, (x,y) = (16,15.1)

The radius is calculated using:

$r = \sqrt{(x - a)^2 + (y -b)^2}$

So, we have:

$r = \sqrt{(16 - 0)^2 + (15.1 -0)^2}$

Evaluate

r = √484.01

Evaluate the square root

r = 22.0

The circumference is calculated using

C = 2πr

So, we have:

C = 2π * 22.0

Evaluate

C = 138

Hence, the approximation of the circumference of the ride to the nearest foot is 138 feet