Circumference and Area Word Problems

Front

What is the formula for the circumference of a circle?

Back

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

Front

What is the formula for the area of a circle?

Back

Area = π × radius².

Front

If the diameter of a circle is 10 feet, what is the radius?

Back

Radius = diameter / 2 = 5 feet.

Front

How do you calculate the distance walked around a circular track if you know the diameter?

Back

First, calculate the circumference using the formula, then multiply by the number of laps.

Front

What is the circumference of a circle with a radius of 4 inches?

Back

Circumference = 2 × π × 4 = 25.12 inches.

Front

If a circular pizza has a diameter of 12 inches, what is the circumference?

Back

Circumference = π × 12 = 37.68 inches.

Front

What is the area of a circle with a radius of 3 feet?

Back

Area = π × 3² = 28.27 square feet.

Front

How do you find the area of a circular garden with a diameter of 8 meters?

Back

First, find the radius (4 meters), then use the area formula: Area = π × 4² = 50.27 square meters.

Front

What is the relationship between diameter and radius?

Back

The diameter is twice the radius: diameter = 2 × radius.

Front

If a circular track has a circumference of 31.4 feet, what is the diameter?

Back

Diameter = Circumference / π = 10 feet.