GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
A circle with a radius of 6 has a square inscribed inside of it. What
[#permalink]
31 Jan 2022, 06:15
31 Jan 2022, 06:15
Expert Reply
00:00
Question Stats:
100% (01:02) correct
0% (00:00) wrong based on 21 sessions
Hide Show timer Statistics
A circle with a radius of 6 has a square inscribed inside of it. What is the area of the black region?
(A) \(23π - 31\)
(B) \(36π - 72\)
(C) \(63π - 42\)
(D) \(24π - 16\)
(E) \(30π - 62\)
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: A circle with a radius of 6 has a square inscribed inside of it. What
[#permalink]
31 Jan 2022, 06:23
31 Jan 2022, 06:23
Carcass wrote:
A circle with a radius of 6 has a square inscribed inside of it. What is the area of the black region?
(A) \(23π - 31\)
(B) \(36π - 72\)
(C) \(63π - 42\)
(D) \(24π - 16\)
(E) \(30π - 62\)
Area of shaded region = (area of circle) - (area of square)
Since we're told the circle has radius 6, the area of the circle = (pi)(radius²) = (pi)(6²) = 36pi
So we get: area of shaded region = (36pi) - (area of square)
Since the area of the square will not involve pi, we can conclude that the final answer will be in the form (36pi) - some value
So, the correct answer must be B
Re: A circle with a radius of 6 has a square inscribed inside of it. What
[#permalink]
22 May 2024, 12:13
22 May 2024, 12:13
but how did you get the secondary value
