Question

The Figure given below 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.

Answer 1

The distance around the track along its inner edge:

= AB + Arc BEC + CD + Area of Arc DFA

The Area of Track:

= (Area of GHIJ – Area of ABCD) + (Area of semicircle HKI – Area of semicircle BEC) + (Area of semicircle GIJ – Area of semicircle AFD)

= 2120 + 2200

= 4320 sq.m.

∴ Total area of Track

= 4320 sq.m.