A corner fireplace hearth has a quartercircle shape with an 8 - ft radius. If 3 bricks are needed for 1 square foot of area, how many bricks are needed to cover the hearth?​

Sagot :

Since it is in a form of a quartercircle shape, the circle is divided into 4 equal parts. Thus, the area of the quartercircle is:

A = 1/4 x πr²

Solution:

A = 1/4 x π(8)²

= 1/4 x 64π

A = 16π or 50.27 sq.ft

Bricks needed to cover the hearth:

Conversion: 3 bricks = 1 sq.ft area

Therefore,

Bricks needed = 50.27 x 3 = 150.81 pcs

The bricks needed to cover the hearth is 150.81 or approximately 151 pcs.

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