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

Redeem

There are two squares in a semi-circle as above figure, OC=C

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

There are two squares in a semi-circle as above figure, OC=C

by Max@Math Revolution » Wed May 25, 2016 5:33 pm
There are two squares in a semi-circle as above figure, OC=CE. If the radius of a semi-circle is 4√5, what is the area of the small square?
A. 12
B. 14
C. 15
D. 16
E. 27

*An answer will be posted in 2 days.
Attachments
1.png
Top
Source: — Problem Solving |
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

by Max@Math Revolution » Sat May 28, 2016 6:40 pm
If OC=GC=DG=a, then a^2+(2a)^2=(4√5)^2=80. From 5a^2=80, we get a^2=16. So the area of the small square is a^2=16. Hence, the correct answer is D.
Top
Post new topic Post Reply
• Page 1 of 1