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.
Sep 28Live Online Class with Top GRE Expert Mike Butville
08:00 PM EDT
-10:00 PM EDT
Top scores are possible when you enroll in a powerful GRE course, taught live online + 6 months access to TTP GRE OnDemand video courses included! Class starts Mon/Wed Sept. 28, 2026 - Dec. 9, 2026, 8:00pm-10:00pm EST
If the diameter of the circle is 36, what is the length of a
[#permalink]
19 Sep 2018, 17:55
19 Sep 2018, 17:55
1
Expert Reply
6
Bookmarks
00:00
Question Stats:
29% (01:59) correct
70% (01:40) wrong based on 106 sessions
Hide Show timer Statistics
Attachment:
Capture.JPG [ 21.87 KiB | Viewed 8406 times ]
If the diameter of the circle is 36, what is the length of arc ABC?
(A) \(8\)
(B) \(8\pi\)
(C) \(28\pi\)
(D) \(32\pi\)
(E) \(56\pi\)
Re: If the diameter of the circle is 36, what is the length of a
[#permalink]
20 Sep 2018, 21:56
20 Sep 2018, 21:56
explain how c can be the answer??
Re: If the diameter of the circle is 36, what is the length of a
[#permalink]
24 Sep 2018, 08:23
24 Sep 2018, 08:23
1
Expert Reply
Explanation
Note that a minor arc is the “short way around” the circle from one point to another, and a major arc is the “long way around.” Arc ABC is thus the same as major arc AC.
For a given arc, an inscribed angle is always half the central angle, which would be 80° in this case.
The minor arc AC is thus \(\frac{80}{360}=\frac{2}{9}\)of the circle. Since the circumference is \(36\pi\):
minor arc AC = \(\frac{2}{9}(36\pi) = 8\pi\)
Arc ABC, or major arc AC, is the entire circumference minus the minor arc:
\(36\pi – 8\pi = 28\pi\)
Note that a minor arc is the “short way around” the circle from one point to another, and a major arc is the “long way around.” Arc ABC is thus the same as major arc AC.
For a given arc, an inscribed angle is always half the central angle, which would be 80° in this case.
The minor arc AC is thus \(\frac{80}{360}=\frac{2}{9}\)of the circle. Since the circumference is \(36\pi\):
minor arc AC = \(\frac{2}{9}(36\pi) = 8\pi\)
Arc ABC, or major arc AC, is the entire circumference minus the minor arc:
\(36\pi – 8\pi = 28\pi\)
