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# What is the radius of the circle above with center O? (1) The measur

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Math Expert
Joined: 02 Sep 2009
Posts: 50715
What is the radius of the circle above with center O? (1) The measur  [#permalink]

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04 Sep 2018, 22:51
00:00

Difficulty:

25% (medium)

Question Stats:

85% (00:42) correct 15% (00:29) wrong based on 13 sessions

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What is the radius of the circle above with center O?

(1) The measure of the angle ABC is 30°.
(2) The length of the arc AC is 2.

Attachment:

image006.gif [ 2.23 KiB | Viewed 222 times ]

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What is the radius of the circle above with center O? (1) The measur  [#permalink]

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04 Sep 2018, 22:59
Bunuel wrote:

What is the radius of the circle above with center O?

(1) The measure of the angle ABC is 30°.
(2) The length of the arc AC is 2.

Attachment:
image006.gif

(1) The measure of the angle ABC is 30°.
AOC = 60 (angle subtended by an arc at center = 2*angle subtended by same arc on any point on the circle)
still insufficient

(2) The length of the arc AC is 2.
insufficient

using both
length of an arc = 2$$\pi$$ r 60/360 = 2
r can be calculated
sufficient
C
What is the radius of the circle above with center O? (1) The measur &nbs [#permalink] 04 Sep 2018, 22:59
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