Fig depicts a racing track whose left and right ends are semicircular. The distance between the two inner parallel line segments is 60m and they are each 106m long.If the track is 10m wide every where, find the area of the track.
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Answer:
4320 sqm
Step-by-step explanation:
Fig depicts a racing track whose left and right ends are semicircular. The distance between the two inner parallel line segments is 60m and they are each 106m long.If the track is 10m wide every where, find the area of the track.
there would be two rectangle
length = 106m
wodth = 10m
area of 2 rectangle part = 2*106*10
= 2120 msq
for two semicircular path
inner dia meter = 60m (distance between inner parallel lines)
inner radius = 60/2= 30 m
outer diameter = 80 m
(60+10+10) distance between outer parallel lines
outer radius = 40m
two semicircles will make a circle
so area of circular part
= pie * 40 *40 - pie *30*30
= pie * (1600-900)
= (22/7)* 700
= 2200 msq
total area of track = 2120+2200
= 4320 sqm
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