QUESTION 2
The diagram shows the path of an athlete on a running track. The path consists of two straight
lengths and a semicircle at each end. Each straight length is 85m. Each semicirce has a radius of
36.6m.
Diagram NOS
kitty degan
How long is the running track?
Answers
Given :- (from image) .
- AB = DC = 85m.
- radius of both semi - circle = 36.6m.
To Find :-
- How long is the running track . ?
Solution :-
from image we can see that,
→ Length of running track = AB + circumference of semi - circle with radius 36.6m + CD + circumference of semi - circle with radius 36.6m .
Or,
→ Length of running track = AB + CD + (circumference of semi - circle with radius 36.6m + circumference of semi - circle with radius 36.6m)
Or,
→ Length of running track = 2AB + circumference of one circle with radius 36.6 m .
we know that,
- circumference of a circle with radius r is = 2 * π * r
- π = 3.14 .
Putting all values now, we get,
→ Length of running track = 2*85 + (2 * 3.14 * 36.6)
→ Length of running track = 170 + 3.14 * 73.2
→ Length of running track = 170 + 229.8
→ Length of running track = 399.8 ≈ 400m. (Ans.)
Hence, Length of running track is 400m.
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