Is Calculating Radian Measure from Arc Length and Radius Correct?

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To calculate the radian measure of a central angle theta subtended by an arc of 20 cm on a circle with a radius of 2 m, the formula S = r(theta) is used. By substituting the values, the equation becomes 20 = 200(theta), leading to theta = 20/200, which simplifies to 0.1 radians. This result is considered correct, as the arc length of 20 cm is relatively small compared to the circle's radius of 200 cm. The calculation confirms that the approach and formula used are appropriate for determining the radian measure. The discussion concludes that the obtained answer is valid.
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A central angle theta is subtended by an arc 20cm long on a circle of radius 2m, find the radian measure of theta.

i used the formula S=r(theta), and just plugged in what was given.

20=200(theta), from there i got theta= 20/200, which gives me an answer of .1. I thought i did this correctly but my answer seems kind of weird. Did i do this correctly?
 
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jayjohn28 said:
A central angle theta is subtended by an arc 20cm long on a circle of radius 2m, find the radian measure of theta.

i used the formula S=r(theta), and just plugged in what was given.

20=200(theta), from there i got theta= 20/200, which gives me an answer of .1. I thought i did this correctly but my answer seems kind of weird. Did i do this correctly?

that should be correct. 200cm in relation to 2ocm arc is small
 

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