Lesson 08: Relating Area to Circumference | Unit 3: Measuring Circles

Open Ended

The picture shows a circle divided into 8 equal wedges, which are rearranged. The radius of the circle is $$r$$ , and its circumference is $$2\pi r$$ . How does the picture help to explain why the area of the circle is $$\pi r^2$$ ?

Multiple Choice

A paper plate has a radius of 4.5 inches. What is the area of the plate?

• 78.540 square inches
• 28.274 square inches
• 50.265 square inches
• 63.617 square inches

Multiple Choice

Jada paints a circular table that has a diameter of 37 inches. What is the area of the table?

• 850.25 square inches
• 1200.00 square inches
• 1077.57 square inches
• 900.50 square inches

Multiple Choice

A circle’s circumference is approximately 76 cm. What is the estimated radius of the circle?

• 10 cm
• 15 cm
• 12.1 cm
• 20 cm

Multiple Choice

A circle’s circumference is approximately 76 cm. What is the estimated diameter of the circle?

• 22 cm
• 24.2 cm
• 30 cm
• 20 cm

Multiple Choice

A circle’s circumference is approximately 76 cm. Estimate the area of the circle.

• Approximately 200 cm²
• Approximately 300 cm²
• Approximately 459.5 cm²
• Approximately 600 cm²

Multiple Choice

Andre has a goal to exercise for 60 minutes this week. How many minutes has he exercised by Monday if he has completed 10% of his goal?

• 6 minutes

• 10 minutes

• 12 minutes

• 15 minutes

Multiple Choice

Andre has a goal to exercise for 60 minutes this week. How many minutes has he exercised by Wednesday if he has completed 60% of his goal?

• 30 minutes

• 36 minutes

• 40 minutes

• 45 minutes

Multiple Choice

Andre has a goal to exercise for 60 minutes this week. How many minutes has he exercised by Saturday if he has completed 130% of his goal?

• 60 minutes

• 70 minutes

• 78 minutes

• 80 minutes

Multiple Choice

The face of a clock has a circumference of 63 in. What is the area of the face of the clock?

• 314.16 in²
• 250.50 in²
• 200.00 in²
• 150.78 in²