SOL Quick 5 Area and Circumference

Front

What is the definition of a radius?

Back

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

Front

What is the definition of a diameter?

Back

A diameter is a line segment that passes through the center of a circle and has its endpoints on the circle.

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 = π × d, where d is the diameter.

Front

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

Back

Area = π × (5 feet)² = 78.5 feet² (approximately).

Front

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

Back

Circumference = π × 10 feet = 31.4 feet (approximately).

Front

What is the relationship between diameter and radius?

Back

The diameter is twice the length of the radius (d = 2r).

Front

What does π (pi) represent in geometry?

Back

π (pi) is the ratio of the circumference of a circle to its diameter, approximately equal to 3.14.

Front

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

Back

Radius = Circumference / (2 × π).

Front

What is the area of a circle with a diameter of 8 feet?

Back

Area = π × (4 feet)² = 50.24 feet² (approximately).