Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 1 - Graphs - 1.4 Circles - 1.4 Assess Your Understanding - Page 39: 51

Answer

$(x-0)^2+(y-139)^2=(125)^2$.

Work Step by Step

The diameter is $250$feet, hence radius$=d/2=125$feet. Maximum height$=264$feet, hence thei height of the wheel base is: $264-250=14$feet. Hence $C=(0,14+\text{radius})=(0,14+125)=(0,139).$ The general equation for a circle with radius $r$ and centre $(h,k)$ is: $(x-h)^2+(y-k)^2=r^2$. Hence our equation: $(x-0)^2+(y-139)^2=(125)^2$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.