Properties of Circles Test

Front

What is the center of a circle in the equation (x-4)² + (y-2)² = 25?

Back

The center is (4, 2).

Front

What is the radius of a circle in the equation (x-4)² + (y-2)² = 25?

Back

The radius is 5.

Front

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

Back

(x-h)² + (y-k)² = r².

Front

How do you find the measure of an arc in a circle?

Back

The measure of an arc can be found using the central angle that subtends the arc.

Front

What is a minor arc in a circle?

Back

A minor arc is an arc that is smaller than a semicircle.

Front

What is the equation of a circle with center (-5, 7) and radius 5?

Back

(x+5)² + (y-7)² = 25.

Front

What is the difference between a major arc and a minor arc?

Back

A major arc is larger than a semicircle, while a minor arc is smaller than a semicircle.

Front

If the center of a circle is at (0, 0) and the radius is 3, what is the equation of the circle?

Back

x² + y² = 9.

Front

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

Back

The diameter is twice the radius.

Front

How do you determine the length of an arc given the radius and the central angle?

Back

Arc length = (θ/360) × 2πr, where θ is the central angle in degrees.