Area of Circles, Semi-Circles, and Quarter-Circles

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 area of a circle with a radius of 7 cm?

Back

Area = π × 7² = 153.94 cm² (approximately).

Tags

CCSS.7.G.B.4

Front

What is the formula for the area of a semi-circle?

Back

Area = (1/2) × π × r².

Tags

CCSS.7.G.B.4

Front

What is the area of a semi-circle with a radius of 4 cm?

Back

Area = (1/2) × π × 4² = 25.13 cm² (approximately).

Tags

CCSS.7.G.B.4

Front

What is the formula for the area of a quarter-circle?

Back

Area = (1/4) × π × r².

Tags

CCSS.7.G.B.4

Front

What is the area of a quarter-circle with a radius of 6 cm?

Back

Area = (1/4) × π × 6² = 28.26 cm² (approximately).

Tags

CCSS.7.G.B.4

Front

What shape is formed by cutting a circle in half?

Back

A semi-circle.

Tags

CCSS.HSG.CO.A.1

Front

What is the area of a circle with a diameter of 10 cm?

Back

Area = π × (5)² = 78.54 cm² (approximately).

Tags

CCSS.7.G.B.4

Front

If the radius of a circle is doubled, how does the area change?

Back

The area increases by a factor of four.

Tags

CCSS.7.G.B.4

Front

What is the relationship between the radius and diameter of a circle?

Back

Diameter = 2 × radius.

Tags

CCSS.7.G.B.4