Unit 8: Circles Final Exam Review

Front

What is the standard equation of a circle with center (h, k) and radius r?

Back

The standard equation is: $$(x - h)^2 + (y - k)^2 = r^2$$.

Front

What is the diameter of a circle?

Back

The diameter is the distance across the circle through its center, equal to twice the radius.

Front

Define a central angle in a circle.

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides are radii.

Front

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

Back

The measure of an angle inscribed in a semicircle is 90 degrees.

Front

How do you find the radius of a circle if you know the diameter?

Back

The radius is half of the diameter: $$r = \frac{d}{2}$$.

Front

What is the relationship between the radius and the circumference of a circle?

Back

The circumference C is given by the formula: $$C = 2\pi r$$.

Front

What is the area of a circle?

Back

The area A is given by the formula: $$A = \pi r^2$$.

Front

What is an inscribed angle?

Back

An inscribed angle is formed by two chords in a circle which have a common endpoint.

Front

What is the relationship between a central angle and an inscribed angle that subtends the same arc?

Back

The central angle is twice the measure of the inscribed angle.

Front

How do you convert the center and radius of a circle into its standard equation?

Back

If the center is (h, k) and the radius is r, the equation is $$(x - h)^2 + (y - k)^2 = r^2$$.