unit 9 Flashcard

Front

What is the center and radius of the circle given by the equation (x-3)^2 + (y+4)^2 = 25?

Back

Center: (3, -4), Radius: 5

Front

How do you represent the point (5, π) on a graph?

Back

The point (5, π) is represented by point F.

Front

What does the equation r = a represent in polar coordinates?

Back

The equation r = a represents a circle with radius a.

Front

Convert the equation x^2 + y^2 + 10x - 4y + 20 = 0 to standard form.

Back

Standard form: (x+5)^2 + (y-2)^2 = 9.

Front

How do you calculate the area of a sector of a circle?

Back

Area of a sector = (θ/360) * π * r^2, where θ is the central angle in degrees and r is the radius.

Front

What is the formula for the area of a circle?

Back

Area = π * r^2, where r is the radius.

Front

What is the standard form of a circle's equation?

Back

Standard form: (x-h)^2 + (y-k)^2 = r^2, where (h, k) is the center and r is the radius.

Front

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

Back

Diameter = 2 * Radius.

Front

How do you find the circumference of a circle?

Back

Circumference = 2 * π * r, where r is the radius.

Front

What is the definition of a sector in a circle?

Back

A sector is a portion of a circle enclosed by two radii and the arc between them.