SOLUTION: Please help me solve this,
A running track 4m wide goes around a soccer field that is twice as long as it is wide. At each end of the soccer field the track is a semi-circle with
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A running track 4m wide goes around a soccer field that is twice as long as it is wide. At each end of the soccer field the track is a semi-circle with
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Question 539009: Please help me solve this,
A running track 4m wide goes around a soccer field that is twice as long as it is wide. At each end of the soccer field the track is a semi-circle with inner radius r. Find a formula for the area of the track in terms of pie and r. Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! running track 4m wide goes around a soccer field that is twice as long as it is wide. At each end of the soccer field the track is a semi-circle with inner radius r. Find a formula for the area of the track in terms of pie and r
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At ends of soccer field:
Area of track= area of outer semi circle-area of inner semi circle
Total area of inner semi circle for both ends=πr^2
Total area of outer semi circle for both ends=π(r+4)^2
Total area of track for both ends of soccer field=π(r+4)^2-πr^2=π(r^2+8r+16)-πr^2
=πr^2+8rπ+16π-πr^2=8rπ+16π=8π(r+2)
..
soccer field inside track
width=2r
length=twice width=4r
Area of straight portion of track=2*4r*4=32r (for 2 sides)
..
ans:
Total area of track=8π(r+2)+32r (m^2)
please check my calculations
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