Question

A sign painter is painting a round sign with a diameter of 18 inches completely blue before adding words. How many square inches does he need to paint? Use 3.14 for pi and round to the nearest hundredth.

Answer 1

Answer: 254.34 square inches

Work Shown

area = pi*(radius)^2

A = pi*r^2

A = 3.14*9^2

A = 254.34

Step-by-step explanation

A diameter of 18 inches leads to a radius of 9 inches since we divide in half. Plug r = 9 into the formula above. The result is approximate since pi = 3.14 is approximate. He'll need to paint roughly 254.34 square inches of area assuming there are no gaps and no overlaps. It also assumes one coat of paint. The units "square inches" can be shortened to the notation
`\text{in}^2`