The distance between two inner parallel line segments is 60m

Asked by admin @ 06/08/2021 in Math viewed by 444 People

The distance between the two inner parallel line segments is 60 and they are each 106m long. if the track is 10m wide, find,

1) the distance around the track along its inner edge and 2) the area of the track

Answered by admin @ 06/08/2021

Find the radius of the inner track:

Radius = Diameter ÷ 2

Radius = 60 ÷ 2 = 30 m

Find the distance of the inner track:

Distance = 2πr + Length + Length

Distance = 2π(30) + 106 + 106 = 400.57 m

Find the area of the inner track:

Area = πr² + (Length x Breadth)

Area = π(30)² + (106 x 60)

Area = 9188.57 m²

Find the area of the whole track:

Area = πr² + (Length x Breadth)

Radius =30 + 10 = 40 m

Width =60 + 10 + 10 = 80 m

Area = π(40)² + (106 x 80)

Area = 13508.57 m²

Find the area of the track:

Area = 13508.57 - 9188.57 = 4320 m²

Answer: (1)400.57 m (2) 4320 m²

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