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The center of the circle is O
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Updated on: 16 Nov 2019, 02:30
Updated on: 16 Nov 2019, 02:30
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64% (01:54) correct
35% (02:53) wrong based on 39 sessions
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#greprepclub The center of the circle is O.jpg [ 12.69 KiB | Viewed 13661 times ]
The center of the circle is O, and RS = ST = 4. What is the length of arc RWT?
A. \(\frac{4\pi}{3}\)
B. \(\frac{8\pi}{3}\)
C. \(\frac{16\pi}{3}\)
D. \(4\pi\)
E. \(8\pi\)
Re: The center of the circle is O
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03 Oct 2019, 05:37
03 Oct 2019, 05:37
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NailItGre wrote:
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The attachment #greprepclub The center of the circle is O.jpg is no longer available
The center of the circle is O, and RS = ST = 4. What is the length of arc RWT?
A. \(\frac{4\pi}{3}\)
B. \(\frac{8\pi}{3}\)
C. \(\frac{16\pi}{3}\)
D. \(4\pi\)
E. \(8\pi\)
Here,
RS = ST = 4
Therefore TO = RO = 4
Hence \(\triangle\) STO = \(\triangle\)SRO = Equilateral \(\triangle\)
The \(\angle\)TOR =120
ARC TWR = \(2\pi * Radius * \frac{240}{360} = 2\pi * 4 *\frac{240}{360} = \frac{16\pi}{3}\)
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Geometry.PNG [ 196.72 KiB | Viewed 13568 times ]
