The length of the arc is directly proportional to the subtended angle.
If the subtended angle is changed from 70° to 10°, it means it has decreased by 60°.
Since the length of the arc is directly proportional to the subtended angle, we can calculate the new length using the ratio of the change in angle:
Change in angle = (10° - 70°) = -60°
If the length of the arc corresponding to 70° is x, then the length of the arc corresponding to 10° will be:
x * (-60°) / 70° = -0.857x
Therefore, the length of the arc corresponding to the 10° subtended angle will be approximately 0.857 times the original length of the arc.
If the subtended angle is changed from 70° to 10°, what will be the length of its corresponding arc?
1 answer
1 answer