Equation of a Circle

Front

What is the definition of a Diameter?

Back

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

Front

What is the definition of Circumference?

Back

The distance around a circle.

Front

What is the standard equation of a circle centered at the origin with radius r?

Back

x² + y² = r².

Front

What is the radius of a circle?

Back

The distance from the center of the circle to any point on the circle.

Front

What is the center of a circle in the equation (x-h)² + (y-k)² = r²?

Back

(h, k) where h and k are the coordinates of the center.

Front

What is the relationship between the radius and diameter?

Back

The diameter is twice the length of the radius.

Front

What is the formula to calculate the circumference of a circle?

Back

C = 2πr, where r is the radius.

Front

What is the area of a circle?

Back

A = πr², where r is the radius.

Front

What is the equation of a circle with center (3, 2) and radius 4?

Back

(x-3)² + (y-2)² = 16.

Front

What is a Chord in a circle?

Back

A line segment whose endpoints lie on the circle.