Area of a Circle

Front

What is the area of a circle?

Back

The area of a circle is the space contained within its circumference, calculated using the formula A = πr², where r is the radius.

Tags

CCSS.7.G.B.4

Front

What is the value of π (pi) used in calculations?

Back

π (pi) is approximately 3.14 and is a constant used to calculate the circumference and area of circles.

Tags

CCSS.HSG.GMD.A.1

Front

What is the formula for the area of a circle given the radius?

Back

A = πr²

Tags

CCSS.7.G.B.4

Front

What is the radius of a circle?

Back

The radius is a line segment drawn from the center of the circle to any point on its circumference.

Front

What is the diameter of a circle?

Back

The diameter is a line segment that passes through the center of the circle and whose endpoints lie on the edge of the circle. It is twice the length of the radius.

Tags

CCSS.HSG.C.A.2

Front

How do you calculate the area of a circle with a radius of 5 units?

Back

Using the formula A = πr², the area is A = π(5)² = 25π, which is approximately 78.5 square units.

Tags

CCSS.7.G.B.4

Front

What is the circumference of a circle?

Back

The circumference is the distance around the circle, calculated using the formula C = 2πr.

Tags

CCSS.7.G.B.4

Front

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

Back

If the radius is doubled, the area increases by a factor of four, since area is proportional to the square of the radius.

Tags

CCSS.7.G.B.4

Front

What is the relationship between diameter and radius?

Back

The diameter is twice the length of the radius: Diameter = 2 × Radius.

Tags

CCSS.7.G.B.4

Front

What is the area of a circle with a radius of 7 units? (Use π = 3.14)

Back

A = πr² = 3.14 × (7)² = 3.14 × 49 = 153.86 square units.

Tags

CCSS.7.G.B.4