RHSLilSweetie07
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Describe what would happen to the central angle for a given arc length of a circle if the circle's radius were doubled. (Assume everything else is unchanged).
Trig probelm involving circles/radii
- Thread starter RHSLilSweetie07
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Suppose the original radius is "r", and the angle is ß. Then the arc length is Br, right?
Now use a longer radius, so the new radius is 2r. You want the same arc length, ßr, but you need to figure out the angle needed (in terms of ß) to get this same length with the new radius.
So solve "(same length) is given by (some angle) times (new radius)" for the value of the new angle.
If you get stuck, please reply showing how far you have gotten. Thank you.
Eliz.
Now use a longer radius, so the new radius is 2r. You want the same arc length, ßr, but you need to figure out the angle needed (in terms of ß) to get this same length with the new radius.
So solve "(same length) is given by (some angle) times (new radius)" for the value of the new angle.
If you get stuck, please reply showing how far you have gotten. Thank you.
Eliz.
RHSLilSweetie07
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Central angle
So if I suppose the the radius is 2r, then the angle should be 1/2B, right? So in conclusion, if the circle's radius were doubled, the central angle would be halved?
So if I suppose the the radius is 2r, then the angle should be 1/2B, right? So in conclusion, if the circle's radius were doubled, the central angle would be halved?
