At center court on a gymnasium floor, a large circular emblem is to be painted. The circular design has a radius length of 11 ft.

Question

At center court on a gymnasium floor, a large circular emblem is to be painted. The circular design has a radius length of 11 ft.

(a)What is the area to be painted in square feet? (Use your calculator value of 𝜋. Round your answer to two decimal places.)

(b)If a quart of paint covers 70 ft² and you can only buy full quarts of paint, how many quarts of paint must be purchased to complete the job? (Round your answer up to the nearest whole number.)

 

(c)If each quart of paint costs $15.83 and you can only buy full quarts of paint, find the cost of the paint in dollars.

Answer 1

Area of a circle formula is pi r² , so area to be painted is pi 11² , which equals 380.13 when rounded.

Each quart of paint covers 70 sq ft, so 380.13 / 70 = 5.43. Rounding up to nearest can, it will take 6 cans. Each can costs 15.83, so 6 cans will cost 94.98.