Illustrative Math Grade 7 Unit 3 Review

Front

What is the formula to calculate the circumference of a circle?

Back

Circumference = π × diameter or Circumference = 2 × π × radius.

Front

If a circle has a diameter of 20 inches, what is its radius?

Back

Radius = diameter / 2 = 20 inches / 2 = 10 inches.

Front

How do you calculate the area of a circle?

Back

Area = π × radius².

Front

What is the circumference of a circle with a diameter of 23 inches?

Back

Circumference = π × 23 inches ≈ 72.3 inches.

Front

If a wheel rotates 37 times and has a diameter of 20 inches, how far does it travel?

Back

Distance = Circumference × number of rotations = (π × 20 inches) × 37 ≈ 2,325 inches.

Front

What is the relationship between diameter and circumference?

Back

The circumference is directly proportional to the diameter; as the diameter increases, the circumference increases.

Front

What is the area of a circle with a radius of 10 inches?

Back

Area = π × (10 inches)² ≈ 314 inches squared.

Front

If a swimming pool fills at a constant rate, what does this imply about the relationship between time and volume?

Back

The volume of water is proportional to the time; as time increases, the volume increases at a constant rate.

Front

What is the formula to find the area of a circle if you know the diameter?

Back

Area = π × (diameter / 2)².

Front

How do you convert circumference to diameter?

Back

Diameter = Circumference / π.