Geometry Unit 6 Review

What is the sum of exterior angles for a 27-gon?

• 4860

• 4500

• 360

• 270

If the radius of the circle and each semicircle is 15 meters, what is the area of the shaded portion of the figure, in square meters?

• 1800 – 225π

• 1575π

• 1350π

• 1800 – 450π

If each sector has a radius of 7.25 centimeters, what is the area of the shaded portion of the figure?

• 375.4 square centimeters

• 45.1 square centimeters

• 50.8 square centimeters

• 21.8 square centimeters

The cone below has base radius 20 centimeters and height 21 centimeters.

What is the lateral surface area of the cone in terms of π?

Mathematical Equivalence

ON

What is the volume of the composite figure shown below? Use 3.14 for π. Round answer to hundredths place if necessary.

Sergio built a round fire pit with a radius of 5 feet. His brother wanted the base area of his fire pit to be 4 times larger than Sergio’s. Which change in dimension did Sergio’s brother have to make?

• Add 4 to Sergio’s radius

• Triple Sergio’s radius

• Double Sergio’s radius

• Multiply Sergio’s radius

If the length of a rectangle is tripled, and its width is multiplied by 5, the area of the rectangle is multiplied by –

• 3

• 5

• 8

• 15

If the length of each side of a square is quadrupled, the perimeter of the square is _______.

If 7 inches is added to both the length and the width of a rectangle, then the perimeter is increased by _______.

Evelyn wants to make a kite with four equal sized tails as shown in the diagram. How much material does Evelyn need to make the kite?

• 1,335 square inches

• 300 square inches

• 1,035 square inches

• 735 square inches