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..
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Answered by
0
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.
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