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Updated on: 18 Aug 2015, 02:25
Originally posted by monirjewel on 09 Nov 2010, 00:54.
Last edited by Bunuel on 18 Aug 2015, 02:25, edited 1 time in total.
Last edited by Bunuel on 18 Aug 2015, 02:25, edited 1 time in total.
Renamed the topic and edited the question.
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C
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The circle shown has center R. If arc UST has length \(48\pi\), what is the radius of the circle?
A. 18
B. 24
C. 32
D. 48
E. 64
A. 18
B. 24
C. 32
D. 48
E. 64
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1108215125.jpg [ 327.6 KiB | Viewed 12492 times ]
09 Nov 2010, 01:00
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monirjewel
How to solve this problem? Thanks in advance
The circle shown has center R. If arc UST has length 48p, what is the radius of the circle?
A. 18
B. 24
C. 32
D. 48
E. 64
Circumference of a circle (360 degrees) equals to \(2\pi{r}\);
Arc UST is 360-90=270 degrees, so the length of this arc equals to \(\frac{270}{360}*2\pi{r}=48\pi\) --> \(r=32\).
Answer: C.
For more on this issues check Circles chapter of Math Book: math-circles-87957.html
Hope it helps.
