Question

An athletic field is a 46 yd​-by-92 yd  ​rectangle, with a semicircle at each of the short sides. A running track 20 yd wide surrounds the field. If the track is divided into eight lanes of equal​ width, with lane 1 being the​ inner-most and lane 8 being the​ outer-most lane, what is the distance around the track along the inside edge of each​ lane? A rectangle of length 92 yards and width 46 yards surrounded by a running track of width 20 yards. 92 yd 46 yd 20 yd The length of the track along the inside edge of lane 1 is approximately nothing yd.

Answer 1

Answer:

Refer below for detailed explanation.

Step-by-step explanation:

As per the track is divided into 8 lanes. So we will have 8 answers for the distances around the track along the inside edge of each lane.

So,

D=2(92)+ 2 ×1/2 pi×d

Or

D=184+pi×d

Now we start from the innermost edge with the diameter of 46 yd. And we have 8 lanes 20 yd wide so it becomes,

20/8=2.5 so the diameter increases by,

So 2(2.5)=5 yd each lane going outward. So 8 distances are,

D1=184+pi×46=328.51

D2=184+pi×(46+5)=344.221

D3=184+pi×(46+10)=359.929

D4=184+pi×(46+15)=375.63

D5=184+pi×(46+20)=391.345

D6=184+pi×(46+25)=407.05

D7=184+pi×(46+30)=422.761

D8=184+pi×(46+35)=438.469