To identify: The width of the track.
The width is
Given information A circular disc of the radius
It takes ten identical pieces to form a circular track for a pair of toy racing cars. If the inside arc of each piece is 3.4 in. shorter than the outside arc,
Explanation:
Consider the given information
As the circular track is divided into ten identical pieces.
Consider one such piece:
Thus, central angle of one piece is
Suppose the inner arc length to be
Thus,
Recall that
Observe that the central angle for both the inner and outer arc is the same.
Hence,
Therefore,
As difference in radius of inner and outer arc correspond to the width of the track.
Hence the width of the circle track is
So, the width is
Chapter 4 Solutions
PRECALCULUS:...COMMON CORE ED.-W/ACCESS
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