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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

#1**+3 **

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 * 6.2^{2} = 38.44pi

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

area of outer circle in sq feet = pi * 8.3^{2} = 68.89pi

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

hectictar Apr 5, 2018