A horse takes 2.5 seconds to complete a round around a circular feild.If the speed of the horse was 66m/sec,then what is the radius of the feild?
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Speed of the horse = 66m /sec
Time taken by horse =2.5 sec = T
One circular round of the field will be the total distance completed by horse. that will be the circumference of the field.
∴ Total distance = circumference = speed × time
= 66m /sec × 2.5 sec
= 165m.
Circumference of a circle = C
C=2πr ( r = radius, л = 22/7)
Hence Circumference = 165m = 2πr
r = 165 /2л
r = 165 × 2 ×22/7m
=(165 ×7) ÷( 22×2)m
= 1155÷44= 26.25m
Hence radius of the circular field will be 26.25m
Ans :- Radius of the circular field will be 26.25m.
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