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A sector of a circle has an arc length of 7π. If the diameter of the
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06 Jul 2021, 04:15
06 Jul 2021, 04:15
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E
Difficulty:
5%
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Question Stats:
93% (01:09) correct
7%
(00:56)
wrong
based on 105
sessions
A sector of a circle has an arc length of 7π. If the diameter of the circle is 14, what is the measure of the central angle of the sector, in degrees?
(A) 45
(B) 60
(C) 90
(D) 120
(E) 180
(A) 45
(B) 60
(C) 90
(D) 120
(E) 180
Tutor
Joined: 17 Sep 2014
Posts: 1245
Given Kudos: 6
Location: United States
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Re: A sector of a circle has an arc length of 7π. If the diameter of the
[#permalink]
06 Jul 2021, 11:39
06 Jul 2021, 11:39
Expert Reply
Bunuel
A sector of a circle has an arc length of 7π. If the diameter of the circle is 14, what is the measure of the central angle of the sector, in degrees?
(A) 45
(B) 60
(C) 90
(D) 120
(E) 180
(A) 45
(B) 60
(C) 90
(D) 120
(E) 180
If the diameter is 14, then the circumference is \(14 \pi\), since the arc length is \(7\pi\) then the central angle must be \(\frac{7\pi}{14\pi}*360 = 180\).
Ans: E
Re: A sector of a circle has an arc length of 7π. If the diameter of the
[#permalink]
09 Jul 2021, 00:09
09 Jul 2021, 00:09
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Expert Reply
Bunuel
A sector of a circle has an arc length of 7π. If the diameter of the circle is 14, what is the measure of the central angle of the sector, in degrees?
(A) 45
(B) 60
(C) 90
(D) 120
(E) 180
(A) 45
(B) 60
(C) 90
(D) 120
(E) 180
Refer to the solution -
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