SOLUTION: A flower bed is planted in the shape of an arc along the edge of a circular walkway. If the circle has a radian of t yards and the angle substance by the arc measures 1.5 radian,wh

Algebra ->  Trigonometry-basics -> SOLUTION: A flower bed is planted in the shape of an arc along the edge of a circular walkway. If the circle has a radian of t yards and the angle substance by the arc measures 1.5 radian,wh      Log On


   



Question 1175254: A flower bed is planted in the shape of an arc along the edge of a circular walkway. If the circle has a radian of t yards and the angle substance by the arc measures 1.5 radian,what is the length in yards of the borders.
Answer by greenestamps(13200) About Me  (Show Source):
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A flower bed is planted in the shape of an arc along the edge of a circular walkway. If the circle has a cross%28radian%29 radius of t yards and the angle cross%28substance%29 subtended by the arc measures 1.5 radian,what is the length in yards of the borders.

The power of radian measure is that a central angle of 1 radian subtends an arc whose length is equal to the length of the radius.

In your problem, the central angle is 1.5 radians and the radius is t yards, so the length of the arc is 1.5 times t.

ANSWER: Arc length = 1.5t yards