Unit 7.1 Equation of a Circle

Front

What is the definition of a Diameter in a circle?

Back

A line segment between two points on the circle which passes through the center.

Front

What is the formula for circumference of a circle given the diameter?

Back

C = π x diameter.

Front

What are the coordinates of the center and the radius of the circle with equation: (x - 4)² + (y - 3)² = 25?

Back

Center (4,3), Radius = 5 units.

Front

In the equation (x+2)² + (y-3)² = 4, what is the radius of the circle?

Back

Radius = 2.

Front

In the equation (x-4)² + (y-3)² = 25, what is the radius?

Back

Radius = 5.

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

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

Back

The radius is the square root of the constant on the right side of the equation in standard form.

Front

What does the center of a circle represent in its equation?

Back

The point (h,k) in the equation (x - h)² + (y - k)² = r².

Front

What is a Chord in a circle?

Back

A line segment whose endpoints lie on the circle.

Front

What is a Tangent in relation to a circle?

Back

A line that touches the circle at exactly one point.