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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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14 Sep 2018, 01:27
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Difficulty:

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, 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 [ 2.42 KiB | Viewed 450 times ]

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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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14 Sep 2018, 01:43
Bunuel wrote:

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
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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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