Circumference and Area Word Problems

Front

What is the formula for calculating the circumference of a circle?

Back

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

Tags

CCSS.7.G.B.4

Front

What is the formula for calculating the area of a circle?

Back

Area = π × radius².

Tags

CCSS.7.G.B.4

Front

If the radius of a circle is 3 feet, what is the circumference?

Back

Circumference = 2 × π × 3 = 18.84 feet.

Tags

CCSS.7.G.B.4

Front

If the diameter of a circle is 10 inches, what is the area?

Back

Area = π × (10/2)² = 78.54 square inches.

Tags

CCSS.7.G.B.4

Front

What is the relationship between diameter and radius?

Back

Diameter = 2 × radius.

Tags

CCSS.7.G.B.4

Front

How do you convert diameter to radius?

Back

Radius = diameter / 2.

Tags

CCSS.7.G.B.4

Front

What is the circumference of a circle with a radius of 1.5 feet?

Back

Circumference = 2 × π × 1.5 ≈ 9.42 feet.

Tags

CCSS.7.G.B.4

Front

What is the area of a circle with a diameter of 16 inches?

Back

Area = π × (16/2)² = 200.96 square inches.

Tags

CCSS.7.G.B.4

Front

If a circular track has a diameter of 6 feet, how far is one lap around it?

Back

Circumference = π × 6 ≈ 18.84 feet.

Tags

CCSS.7.G.B.4

Front

What is the area of a circular fire pit with a diameter of 4 feet?

Back

Area = π × (4/2)² = 12.56 square feet.

Tags

CCSS.7.G.B.4