Question

The road around our island is 10 miles and is 6 metres wide. What is the difference in metres walking inside of road verses outside

Answer 1

Answer:

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Step-by-step explanation:

The distance around the track along its inner edge

=EF+HG + circumference of semicircle with diameter EH+circumference of semicircle with diameter FG

circumference of semicircle with diameter EH + Circumference of semicircle with diameter FG

=2×π×30=60πm

∴ The distance around the track along its inner edge

=60π+106+106

=72804m

∴  Area of track = Area of rectangle ABFE + Area of rectangle HGCD + (Area of semicircle with diameter AD − Area of semicircle with diameter EH) + (Area of semicircle with diameter BC − Area of semicircle with diameter FG)

 =(106×10)+(106×10)+(2π×40×40−2π×30×30)+(2π×40×40−2π×30×30)

=2120+2200=4320m2