If circles x and y have the same area...

If circles x and y have the same area and circle x has a circumference of 16Ï€, half of the radius of circle y is:

A) 16
B) 8
C) 4
D) 2
E) 1

The OA is C.

Can any expert explain this PS question please? I don't have it clear. Thanks.

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ErikaPrepScholar: Legendary Member; Posts: 503; Joined: Thu Jul 20, 2017 9:03 am; Thanked: 86 times; Followed by:15 members; GMAT Score:770

by ErikaPrepScholar » Wed Oct 25, 2017 6:54 am

Hey, so the key thing to notice here is that for x and y to have the same area, they need to be identical circles - in other words, they have the same radius.

So if the circumference of x is 16Ï€, this means that 2Ï€r = 16Ï€, which means that r = 8 for both circles, which means that half of r = 4.

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Scott@TargetTestPrep: GMAT Instructor; Posts: 7265; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Wed Nov 20, 2019 5:45 pm

BTGmoderatorLU wrote:If circles x and y have the same area and circle x has a circumference of 16Ï€, half of the radius of circle y is:

A) 16
B) 8
C) 4
D) 2
E) 1

The OA is C.

Can any expert explain this PS question please? I don't have it clear. Thanks.

Since the circumference of circle y will also be 16Ï€, its radius is 8, and hence half its radius is 4.

Answer: C

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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