Quarter 3 Benchmark Review - Geometry

A circle has a diameter of 22 inches. Which formula represents how to find the area of the circle?

• A. A = π(11²)

• B. A = 2(π)(11)

• C. A = π(22²)

• D. A = 22(π²)

A tire measures 10.5 inches from the center to the outside. What is the distance around the tire?

• 32.97 in

• 65.94 in

• 131.88 in

• 346.19 in

How many square centimeters are enclosed in the figure below?

• 11,424 cm²

• 10,000 cm²

• 12,000 cm²

• 11,000 cm²

Triangle ABC is similar to triangle DEF. What is the length of segment DE?

• 4 in

• 5 in

• 6 in

• 3 in

Mr. Lewis is installing a new granite countertop for his kitchen island. The countertop will be in the shape of a rectangle measuring 11 feet by 12 feet. Each square foot of granite costs $9.50. Find the cost of the granite for the countertop.

• $1,254.00

• $1,200.00

• $1,300.00

• $1,150.00

Don made a scale model of the Roman Colosseum which has an actual height of 157 feet. He decides to use a scale in which 1 inch represents 20 feet. What is the height in inches of Don’s model?

• 7.85 in

• 7.75 in

• 8.00 in

• 8.25 in

A homeowner is replacing their kitchen flooring with new tile. New tile will go in the shaded area below. Determine the total amount of tile, in square feet, needed to complete the job.

• 142 ft²

• 100 ft²

• 85 ft²

• 160 ft²

A triangle has a height of 24 inches. It is reduced and the new height is 6 inches. What is the scale factor?

• 6

• 4

• 1/4

• 1/8

Jane drew a map of the Sydney Harbour Bridge using the scale 4 centimeters equals 250 feet. The actual length of the Sydney Harbour Bridge is 3,770 feet. Approximately what is the length in centimeters of the Sydney Harbour Bridge on the map?

• 60 cm

• 15 cm

• 943 cm

• 4,770 cm

The circumference of a steering wheel is 42 inches. Determine the radius of the steering wheel. Use 3 for π.

• 7 in

• 14 in

• 21 in

• 28 in