A circular piece of fabric has a radius of 1.2 ft. The fabric sells for $5.40 per ft². What is the total cost of the circular piece of fabric? Use 3.14 for pi.

A 6.48

B 20.35

C 24.42

D 40.69

The answer is $24.41

Step 1. Calculate the area of the circular piece of fabric.

Step 2. Multiply the area of the piece by the price of $5.40 per ft² to get the total cost.

Step 1.

The area (A) of the circle with radius r is:

A = π r²

π = 3.14

r = 1.2 ft

A = 3.14 * (1.2 ft) ²

A = 3.14 * 1.44 ft²

A = 4.52 ft²

Step 2.

Make a proportion

1 ft² costs $5.40

4.52 ft² cost x

1 ft² : $5.40 = 4.52 ft² : x

x = 4.52 ft² * $5.40 / 1 ft²

x = $24.41