Sector & Composite Areas

Find the area of each sector.

• 52.4 in²
• 18,864 in²
• 60 in2
• 10.47 in

Find the area of each sector.

• 4248 m²
• 7.9 m²
• 2827.4 m²
• 11.8 m²

What is the area of the shaded sector?

• 339.12 in²
• 113.04 in²
• 339.29 in²
• None of the above

1. Mason needs to purchase new glass for the window pictured here. About how many square feet of glass will he need to purchase?

• 20 ft²

• 13 ft²

• 26 ft²

3. At a restaurant, a waiter pushed 4 identical square tables together as shown in the diagram. The width of each table is 5 feet. Which of the following methods could the waiter use to determine the total serving area created by the 4 square tables?

• Multiply 5 by 5, then multiply the product by 4.

• Multiply 5 by 5, then multiply the product by 5.

• Add 4 plus 4, then multiply the sum by 5.

4. A local restaurant places tissue-paper liners in baskets for yeast rolls like the liner pictured.

About how many square centimeters of tissue paper are needed to make one liner?

• 200.96 cm²

• 379.2 cm²

• 251.2 cm²

12. Which of the following equations could NOT be used to find the area of the figure shown?

• A = 10(15) - 3.75(2.5)(5)

• A = 15(10) - 2.5(5) - 3.75(5)

• A = 15(10) - [2.5(5) + 3.75(5)]

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: How many degrees in a semicircle? What's the radius?

• 1 sq. ft
• 13 sq. ft
• 3 sq. ft
• 26 sq. ft

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees.  What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

• 40
• 35
• 55
• 69

7. Which of the following is closest to the area of the figure shown?

• 420 cm²
• 521 cm²
• 320 cm²
• 1,124 cm²