7th grade - Module 3, Topic C Study Guide

1. A circle has a radius of 14 feet.

The exact area of the circle is ________ square feet.

1. A circle has a radius of 14 feet.

b. The approximate area of the circle is __________ square feet. (use 3.14 as approximation for )

• 43.96

• 87.92

• 615.44

1. A circle has a radius of 14 feet.

c. The approximate circumference of the circle is ______ feet. (Use 3.14 as an approximation for )

• 43.96

• 87.92

• 615.44

2. Amy has a square plot of land covered with grass. She places a sprinkler in the middle of the plot to water the grass. When the sprinkler is running, it sprays water over a circular region with a radius of 6 feet. The total area of grass on Amy’s plot that will not get watered is approximately ________ square feet. (Use = 3.14)

3. The right pyramid shown has a square base, and its lateral faces are triangles. The surface area of the pyramid is _____________ square meters.

4. There are 7 cubes glued together forming the solid shown in the diagram. The edges of each cube are 114inches in length. The surface area of the solid is ________ square inches.

• 28

• 35

5. The ratio of circumference to diameter is always about the same. What is it? 

The ratio of circumference to diameter is always about __________.

• 3.14

6. The radius of any circle is represented by the variable r, what expression could be used to represent the diameter of that circle?

Expression: _____

• d = 3.14

7. A circle has a radius of 60cm. What is the circle’s circumference?

Select ALL that APPLY!

8. Select all the expressions that correctly calculate the perimeter of the shape.