
Mark M. answered 09/01/19
Mathematics Teacher - NCLB Highly Qualified
Couter - Cinner = 10π
Couter = 2πrouter
Cinner = 2πrinner
2πrouter - 2πinner = 10π
router - rinner = 5
Abby W.
asked 09/01/19A running track is the ring formed by two concentric circles. If the circumferences of the two circles differ by feet, how wide is the track in feet?
Mark M. answered 09/01/19
Mathematics Teacher - NCLB Highly Qualified
Couter - Cinner = 10π
Couter = 2πrouter
Cinner = 2πrinner
2πrouter - 2πinner = 10π
router - rinner = 5
Let C1 = circumference of inside circle, & r1 = radius of the inside circle
C2 = circumference of outside circle, & r2 = radius of the outside circle
Then,
C2 - C1 = 10*pi or 2*pi*r2 - 2*pi*r1 = 10*pi or r2 - r1 = 5
So the track is 5 feet wide.
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