Question

A race track is in the form of a ring whose inner and outer circumferences are 437m and 503m respectively. Find the width of the track and also its area.

Please help if you can, I have an exam coming up..

Answer 1

Answer:

4935 sq.m.

Step-by-step explanation:

2πr

1

=503 and 2πr

2

=437

∴r

1

=

2π

503

and r

2

=

2π

437

Area of ring =π(r

1

2

−r

2

2

)=π(r

1

+r

2

)(r

1

−r

2

)

=π(

2π

503+437

)(

2π

503−437

)

=

2

940

(

2π

66

)=235×

22

66

×7=235×21=4935 sq.m.