Area of a Circle Word Problems

A glass stained window is shaped like a semicircle. The bottom edge of the window is 36 inches long. How much colored glass would you need to cover the stained window? Round to the nearest hundredth. (please label - sq inches or sq in)

A cathedral window is built in the shape of a semicircle. If the window is to contain three stained glass sections of equal size, what is the area of each stained glass section? Express answer to the nearest square foot. (Hint: the 3 sections together are 1/2 a circle, so each section is how much of the circle?)

• 1 sq. ft

• 13 sq. ft

• 3 sq. ft

• 26 sq. ft

A DVD has a diameter of 15 millimeters. Which equation would help you determine the area?

• A = 15²π

• A = 2π15

• A = 7.5²π

• A = 15 π

Jayne has a very large circular lollipop that has a circumference of 25.12 inches. What would the area of Jayne’s lollipop be? Use π = 3.14. (You are going to have to find the diameter then radius before finding area.)

• 50.24 in.²

• 200.96 in²

• 12.56 in. ²

• 78.88 in^.2

Mrs. Apple just bought a new dinning room table. She needs to make a table cloth for decoration. What amount of fabric should she buy if the table has a diameter of 5 feet? Choose the equation that would best help solve this problem.

• C = π5

• C = (2)(π)(2.5)

• A = π x 5 x 5

• A = π x 2.5 x 2.5

Hannah drew a circle with a radius of 30 cm. Jonas drew a circle with a radius of 20 cm. What is the approximate difference in the areas of their circles?

• 2,826 cm²

• 1,570 cm²

• 1,256 cm²

• 314 cm²

A lawn sprinkler sprays water 5 ft in every direction as it rotates. What is the area of the sprinkled lawn?

A spinner has 6 sectors, half of which are red and half of which are black. If the radius of the spinner is 3 inches, what is the area of the red sectors?

Kiyo used wire fencing to form a border around a circular region in his back yard. If the radius of the circular region was 5 yards, what was the total length of the border, rounded to the nearest tenth of a yard?

• 15.7

• 31.4

• 78.5

• 157.1