Circles: Area & Circumference

Front

What is the formula for the area of a circle?

Back

Area = π × r², where r is the radius.

Tags

CCSS.7.G.B.4

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.

Tags

CCSS.7.G.B.4

Front

If the radius of a circle is 5 inches, what is the area?

Back

Area = π × (5)² = 78.5 square inches (using π ≈ 3.14).

Tags

CCSS.7.G.B.4

Front

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

Back

Circumference = π × 10 = 31.4 inches (using π ≈ 3.14).

Tags

CCSS.7.G.B.4

Front

What is the relationship between radius and diameter?

Back

Diameter = 2 × Radius.

Tags

CCSS.7.G.B.4

Front

What is the diameter of a circle with a radius of 8 cm?

Back

Diameter = 2 × 8 cm = 16 cm.

Tags

CCSS.7.G.B.4

Front

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

Back

Radius = Circumference / (2 × π).

Tags

CCSS.7.G.B.4

Front

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

Back

Area = π × (3)² = 28.3 square feet (using π ≈ 3.14).

Tags

CCSS.7.G.B.4

Front

If a circle has a circumference of 62.8 cm, what is its diameter?

Back

Diameter = Circumference / π = 62.8 cm / 3.14 = 20 cm.

Tags

CCSS.7.G.B.4

Front

What is the maximum area of a lawn that can be watered by a sprinkler that sprays in a circle with a radius of 15 feet?

Back

Area = π × (15)² = 706.5 square feet (using π ≈ 3.14).

Tags

CCSS.7.G.B.4