Sarah bought a circular marble tabletop to use as her dining room table. The marble is 6 ft in diameter. Find the cost of the tabletop at ​$90 per square yard of marble? ​(pie equals≈​3.14.)

1 Answer
Serena D.
Mar 22, 2018

$282.60

Explanation:

First, convert the unit (ft) to yards (3 ft is approximately 1 yard, 6 ft is approximately 2 yards).

The diameter of the tabletop is 2 yards. To find the area, we need to do #pi*r^2#, using 3.14 as a rough approximation for pi. The radius (r) is half of the diameter.

#2/2=1 rarr# The radius is 1 yard

Area:

#1^2*3.14#

#1*3.14#

#3.14 rarr# The area is approximately 3.14 square yards.

Since 1 sq. yard of marble costs $90, 3.14 square yards would cost #3.14 yd*$90#, or $282.60.

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