Unit 7.1 Equation of a Circle

Front

What is the standard form of the equation of a circle?

Back

(x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.

Front

What does the radius of a circle represent?

Back

The radius is the distance from the center of the circle to any point on its circumference.

Front

How do you find the diameter of a circle?

Back

The diameter is twice the radius: Diameter = 2 * Radius.

Front

What is the formula for the circumference of a circle?

Back

C = π * d or C = 2 * π * r, where d is the diameter and r is the radius.

Front

What is the area of a circle?

Back

Area = π * r², where r is the radius.

Front

What is a chord in a circle?

Back

A chord is a line segment whose endpoints lie on the circle.

Front

What is a tangent to a circle?

Back

A tangent is a line that touches the circle at exactly one point.

Front

What is the relationship between the radius and the circumference?

Back

The circumference is directly proportional to the radius: C = 2 * π * r.

Front

What is the center of a circle?

Back

The center is the point that is equidistant from all points on the circle.

Front

How do you determine the radius from the equation of a circle?

Back

In the equation (x - h)² + (y - k)² = r², r is the square root of the number on the right side.