SOLUTION: Julie and Tess are running around two separate circular tracks. Julie is running around a track with a radius of 12 yards, while Tess is running a track with a radius of 30 yards.
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Question 414360: Julie and Tess are running around two separate circular tracks. Julie is running around a track with a radius of 12 yards, while Tess is running a track with a radius of 30 yards. They both decide to sprint. Julie's sprint covers a 45 degree arc, while Tess' sprint covers a 120 degree arc. Find the sum of the lengths of the two sprints to the nearest tenth of a yard. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Julie and Tess are running around two separate circular tracks.
Julie is running around a track with a radius of 12 yards, while Tess is running a track with a radius of 30 yards.
They both decide to sprint. Julie's sprint covers a 45 degree arc, while Tess' sprint covers a 120 degree arc.
Find the sum of the lengths of the two sprints to the nearest tenth of a yard.
:
Find the circumference of J's track
C =
C = 75.398 yds
Find distance of 45 degree arc * 75.398 = 9.43 yds
:
Do the same with T's track
C =
C = 188.450 yds
Find distance of 120 degree arc * 188.450 = 62.83 yds
:
Their sum
9.43 + 62.83 ~ 72.3 yds
