Week 14 Test

Front

What is the standard 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 center of a circle given its equation in standard form?

Back

The center (h, k) can be found from the equation (x - h)² + (y - k)² = r².

Front

What is the radius of a circle if its equation is (x - 3)² + (y + 2)² = 25?

Back

The radius is 5, since r² = 25.

Front

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

Back

The diameter is twice the radius (D = 2r).

Front

Define an inscribed angle in a circle.

Back

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

Front

What is the measure of an inscribed angle in relation to the arc it intercepts?

Back

The measure of an inscribed angle is half the measure of the intercepted arc.

Front

How do you calculate the circumference of a circle?

Back

Circumference C = 2πr, where r is the radius.

Front

What is the area of a circle with radius r?

Back

Area A = πr².

Front

What is the formula for the length of an arc in a circle?

Back

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

Front

How do you find the coordinates of the center of a circle given its diameter endpoints?

Back

The center is the midpoint of the diameter endpoints.