Geometry - Ch. 10 Circles Review (CP)

Front

What is a circle?

Back

A circle is a set of points in a plane that are equidistant from a fixed point called the center.

Front

What is the standard equation of a circle?

Back

The standard equation of a circle with center (h, k) and radius r is (x - h)² + (y - k)² = r².

Front

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

Back

The radius can be found by taking the square root of the right side of the equation in standard form.

Front

What is the center of the circle in the equation (x - 2)² + (y + 3)² = 16?

Back

The center is (2, -3).

Front

What is the radius of the circle in the equation (x - 2)² + (y + 3)² = 16?

Back

The radius is 4 units.

Front

What is the relationship between the angles formed by two intersecting chords in a circle?

Back

The measure of the angle formed is equal to half the sum of the measures of the arcs intercepted by the angle.

Front

What is the measure of an inscribed angle in a circle?

Back

An inscribed angle is half the measure of the intercepted arc.

Front

What is the formula for the circumference of a circle?

Back

The circumference C of a circle is given by C = 2πr, where r is the radius.

Front

What is the area of a circle?

Back

The area A of a circle is given by A = πr², where r is the radius.

Front

What is a tangent to a circle?

Back

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