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If the length of the arc ACB in the circle above with center O is 12π,

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If the length of the arc ACB in the circle above with center O is 12π,  [#permalink]

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New post 14 Sep 2018, 01:27
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C
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E

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  45% (medium)

Question Stats:

62% (02:11) correct 38% (01:42) wrong based on 14 sessions

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If the length of the arc ACB in the circle above with center O is 12π,  [#permalink]

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New post 14 Sep 2018, 01:43
Bunuel wrote:
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If the length of the arc ACB in the circle above with center O is 12π, and the radius of the circle is 15, what is the measure of the angle OAD in degrees?


A. 12
B. 18
C. 24
D. 36
E. 72


Attachment:
image007.jpg


Arc ACB=12\(\pi\)
r=15
circumference=2\(\pi\) x 15=30\(\pi\)
\(\angle\)AOB = \(\frac{12\pi}{30\pi}\)x360 = 144
\(\angle\) AOD=180-144=36
\(\angle\) ODA= \(\angle\) OAD = \(\frac{144}{2}\)=72
Answer E.
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If the length of the arc ACB in the circle above with center O is 12π,   [#permalink] 14 Sep 2018, 01:43
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If the length of the arc ACB in the circle above with center O is 12π,

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