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The circumference of the circle with center O shown above is 15. LMNO
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12 Jun 2023, 09:32
12 Jun 2023, 09:32
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GRE The circumference of the circle with center O.jpg [ 27.96 KiB | Viewed 1096 times ]
The circumference of the circle with center O shown above is 15π. LMNO is a parallelogram and ∠OLM = 108°. What is the length of minor arc AB ?
A. 15π
B. 9π
C. 3π
D. 2π
E. π
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Re: The circumference of the circle with center O shown above is 15. LMNO
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13 Jun 2023, 09:13
13 Jun 2023, 09:13
1
Angle AOB = 72
Length of arc = 72/360 * 15pi = 3pi
Length of arc = 72/360 * 15pi = 3pi
Re: The circumference of the circle with center O shown above is 15. LMNO
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13 Jun 2023, 14:21
13 Jun 2023, 14:21
1
Angle OLM= 108°
So, Angle LON= Angle AOB = 180-108= 72°
Now, 72/360=1/5
So, arc AB is 1/5 the circumference
arc AB = (1/5)*15π= 3π
Ans: C
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So, Angle LON= Angle AOB = 180-108= 72°
Now, 72/360=1/5
So, arc AB is 1/5 the circumference
arc AB = (1/5)*15π= 3π
Ans: C
Posted from my mobile device
