BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Rectangle \(ABCD\) has length \(8\) and width \(6.\) What is the area of the circle?

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |
User avatar
GMAT Instructor
Posts: 8130
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

Re: Rectangle \(ABCD\) has length \(8\) and width \(6.\) What is the area of the circle?

by Scott@TargetTestPrep » Wed Aug 05, 2020 10:02 am
VJesus12 wrote: ↑
Thu Jul 30, 2020 8:58 am
 2019-04-30_1244.png

Rectangle \(ABCD\) has length \(8\) and width \(6.\) What is the area of the circle?

A. \(10\pi\)
B. \(25\pi\)
C. \(50\pi\)
D. \(64\pi\)
E. \(100\pi\)

[spoiler]OA=B[/spoiler]

Solution:

If a rectangle is inscribed in a circle, then its diagonal is the diameter of the circle. If we draw a diagonal of rectangle ABCD, say AC, we see that two 6-8-10 right triangles will be formed. Therefore, AC, which is also the diameter of the circle, is 10. So the radius of the circle is 5, and its area is 5^2 x π = 25π.

Answer: B

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top
Post new topic Post Reply
• Page 1 of 1