Lesson 10: Distinguishing Circumference and Area | Unit 3: Measuring Circles

Multiple Choice

A car’s wheels spin at 1000 revolutions per minute. You want to know how fast the car is traveling.

• Speed = 1000 * d m/s
• Speed = (1000 * 2πd) / 60 m/s
• Speed = (1000 * d) / 60 m/s
• Speed = (1000 * πd) / 60 m/s, where d is the diameter of the wheel in meters.

Multiple Choice

A circular kitchen table has a diameter of 60 inches. How much fabric is needed to cover the table top?

• 1500 square inches
• 5000 square inches
• 1200 square inches
• Approximately 2826 square inches

Multiple Choice

A circular puzzle is 20 inches in diameter. All of the pieces are about the same size. You want to know about how many pieces there are in the puzzle.

• Approximately 400 pieces
• Approximately 314 pieces
• Approximately 250 pieces
• Approximately 150 pieces

Open Ended

For each problem, decide whether the circumference of the circle or the area of the circle is most useful for finding a solution. Explain your reasoning. You want to know about how long it takes to walk around a circular pond.

Multiple Choice

What is the estimated circumference of Paris using the map with its scale?

• 25.0 miles
• 40.2 miles
• 31.4 miles
• 15.5 miles

Multiple Choice

What is the estimated area of Paris using the map with its scale?

• Approximately 25.3 square miles
• Approximately 60.1 square miles
• Approximately 15.8 square miles
• Approximately 40.7 square miles

Multiple Choice

About how long is the fence around the softball field?

• 600 ft
• 900 ft
• 1000 ft
• 785 ft

Multiple Choice

What is the approximate size of the outfield in the softball field diagram?

• 50000 square feet
• 98232.43 square feet
• 120000 square feet
• 75000 square feet

Multiple Choice

A moving company needs to load 350 boxes onto a truck. So far, they have loaded 64% of all the boxes. How many boxes have they loaded?

• 224

• 226

• 228

• 230

Multiple Choice

A moving company needs to load 350 boxes onto a truck. There are labels that say “heavy” on 70 of the boxes. What percentage of all the boxes are labeled “heavy”?

• 20%

• 25%

• 30%

• 35%