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.

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
RELATED QUESTIONS
The distance across a circular track running though it's center is 30 yards. What is the... (answered by Fombitz)

the distance around one circular track is three times as far as the distance around a... (answered by josmiceli)

A running track 5 m wide goes around a soccer field that is twice as long as it is wide.... (answered by DrBeeee)

Two persons start running simultaneously around a circular track of length 400 m from the (answered by josgarithmetic)

Aarav and Bahir are running laps around a 400-meter circular track. They started together (answered by ikleyn)

Sammy took his dog running. Sammy and his dog ran 2 laps around a circular track near his (answered by solver91311)

Alesia,Ryan, and Chris began running around a circular track at the same time, from the... (answered by josmiceli)

A circular athletic field has a radius of 70cm.a running track 6m wide surrounds it.what... (answered by ikleyn,Alan3354)

Sam and harry started running at the same time from the opposite ends of the diameter of... (answered by ankor@dixie-net.com)