Question 8:
The given figure depicts a racing track whose left and right ends are semicircular.
The distance between the two inner parallel line segments is 60 m and they are each 106 m long. If the track is 10 m wide, find:
(i) The distance around the track along its inner edge
(ii) The area of the track
[Use π = 22/7]
Answer:
Distance around the track along its inner edge = AB + arc BEC + CD + arc DFA
Area of the track = (Area of GHIJ − Area of ABCD) + (Area of semi-circle HKI − Area of semi-circle BEC) + (Area of semi-circle GLJ − Area of semi-circle AFD)
Therefore, the area of the track is 4320 m2.
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