Precal Unit 1-4 Project

Front

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

Back

The standard form of the equation of a circle is given by: (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.

Front

How do you convert an equation of a circle from general form to standard form?

Back

To convert from general form (Ax² + Ay² + Bx + Cy + D = 0) to standard form, complete the square for the x and y terms.

Front

What is the radian measure of 360 degrees?

Back

360 degrees is equivalent to 2π radians.

Front

How do you convert degrees to radians?

Back

To convert degrees to radians, multiply the degree measure by π/180.

Front

What is the radian measure of 180 degrees?

Back

180 degrees is equivalent to π radians.

Front

What is the relationship between degrees and radians?

Back

Degrees and radians are two units for measuring angles; 180 degrees is equal to π radians.

Front

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

Back

The equation is (x - h)² + (y - k)² = r².

Front

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

Back

From the equation (x - h)² + (y - k)² = r², the center is (h, k) and the radius is r.

Front

What is the degree measure of π/2 radians?

Back

π/2 radians is equivalent to 90 degrees.

Front

What is the degree measure of π/4 radians?

Back

π/4 radians is equivalent to 45 degrees.