Circumference and Area Word Problems

Front

What is the formula for the area of a circle?

Back

Area = π × r², where r is the radius.

Front

What is the formula for the circumference of a circle?

Back

Circumference = 2 × π × r or Circumference = π × d, where d is the diameter.

Front

If the radius of a circle is 1.5 feet, what is the area?

Back

Area = π × (1.5)² ≈ 7.065 ft².

Front

What units are used to measure area?

Back

Square units (e.g., ft², m²).

Front

If a circular track has a diameter of 6 feet, what is the circumference?

Back

Circumference = π × d = π × 6 ≈ 18.84 ft.

Front

How do you find the diameter if you know the radius?

Back

Diameter = 2 × radius.

Front

What is the area of a circle with a diameter of 4 feet?

Back

Area = π × (2)² = π × 4 ≈ 12.56 ft².

Front

If Jojo's beach towel has a radius of 2.5 feet, what is the length of the fringe?

Back

Circumference = 2 × π × 2.5 ≈ 15.7 ft.

Front

What is the relationship between diameter and radius?

Back

The diameter is twice the radius.

Front

If Juan walks 3 times around a circular track with a diameter of 6 feet, how far does he walk?

Back

Distance = 3 × Circumference = 3 × 18.84 ft ≈ 56.52 ft.