SOLUTION: (a) A circular park of 28m diameter has been constructed. A 3.5m circular track outside has been developed along the park. Using algebraic formulae, find the area of the track aro

Algebra ->  Angles -> SOLUTION: (a) A circular park of 28m diameter has been constructed. A 3.5m circular track outside has been developed along the park. Using algebraic formulae, find the area of the track aro      Log On


   

Question 1071812: (a)
A circular park of 28m diameter has been constructed. A 3.5m circular track outside has been developed along the park. Using algebraic formulae, find the area of the track around the park.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A circular park of 28m diameter has been constructed.
A 3.5m circular track outside has been developed along the park.
Using algebraic formula, find the area of the track around the park.
:
The radius of the park: 28/2 = 14m
The radius of the park and the circular track: 14 + 3.5 = 17.5m
Track area = overall area - park area
TA = %28pi%2A17.5%5E2%29 - %28pi%2A14%5E2%29
TA = 962.11 - 615.75
TA = 346.36 sq meters is the area of the track around the park