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# The length of an arc of a circle is twice the length of the radius

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Intern
Joined: 31 Jul 2017
Posts: 1
The length of an arc of a circle is twice the length of the radius  [#permalink]

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31 Jul 2017, 07:46
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The length of an arc of a circle is twice the length of the radius. Find the angle subtended by the arc at the centre of the circle in degrees and minutes

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
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Manager
Joined: 12 Nov 2016
Posts: 70
Re: The length of an arc of a circle is twice the length of the radius  [#permalink]

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31 Jul 2017, 07:57
The length of an arc of a circle is twice the length of the radius. Find the angle subtended by the arc at the centre of the circle in degrees.

length of an arc = x/360*2*pi*r

Given, length of arc = 2r

therefore, 2r=(x/360)*2*22/7*r

hence, x = 114.1 degrees
Math Expert
Joined: 02 Aug 2009
Posts: 7686
Re: The length of an arc of a circle is twice the length of the radius  [#permalink]

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31 Jul 2017, 08:08
k14 wrote:
The length of an arc of a circle is twice the length of the radius. Find the angle subtended by the arc at the centre of the circle in degrees and minutes

few points..
1) Q is not GMAT type - pattern or otherwise..
2) pl post Q properly.
3) it is not TOO hard
4) no one will ask you degree and minutes

circumference or 2*pi*r makes an angle 360 at centre ..
2r will make an angle 360/pi= 360*7/22 nearly equal to 114 degree....
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Math Expert
Joined: 02 Sep 2009
Posts: 55274
Re: The length of an arc of a circle is twice the length of the radius  [#permalink]

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31 Jul 2017, 23:51
k14 wrote:
The length of an arc of a circle is twice the length of the radius. Find the angle subtended by the arc at the centre of the circle in degrees and minutes

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
Re: The length of an arc of a circle is twice the length of the radius   [#permalink] 31 Jul 2017, 23:51
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