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A circular pool 12.4 feet in diameter is surrounded by tile walk 2.1 feet wide. 

find the area of the walk to the nearest tenth.

 

 

What i did:

12.4/2= 6.2

Radius=6.2

 

6.2+2.1=8.3

8.3*8.3*pi=216.424318

 

Where did i go wrong?

Guest Apr 5, 2018
edited by Guest  Apr 5, 2018
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This picture may help:

 

 

 

 

Remember that we want to find the area of the walk, that is the shaded area in the picture.

 

You found the area of a circle with a radius of 8.3 .

 

Below is the full answer......

 

 

 

 

 

 

area of walk   =   area of outer circle - area of inner circle

 

radius of inner circle in feet   =   12.4 / 2   =   6.2

area of inner circle in sq feet  =   pi * 6.22   =   38.44pi

 

radius of outer circle in feet   =   6.2 + 2.1   =   8.3

area of outer circle in sq feet   =   pi * 8.32   =   68.89pi

 

area of walk in sq feet   =   68.89pi - 38.44pi   =   30.45pi   ≈   95.7

hectictar  Apr 5, 2018

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