How to convert a polar equation of a circle to rectangular

The video tutorial explores a mathematical problem involving multiplication and the use of R-squared. Initially, the teacher considers multiplying by cosine but decides against it. Instead, they explore squaring both sides of an equation to simplify it, leading to the realization that R-squared equals 9. This is interpreted as a circle with a radius of three centered at the origin. The teacher encourages students to verify this result using a calculator.

What was the initial mathematical operation considered by the teacher to solve the problem?

• Dividing by R

• Adding a constant

• Multiplying by sine

• Multiplying by cosine

What operation did the teacher finally decide to use to eliminate R from the equation?

• Taking the square root

• Multiplying by cosine

• Squaring both sides

• Dividing by R

What does the equation R-squared equal to 9 represent in geometric terms?

• A line with a slope of three

• A circle with a radius of three

• A parabola with a vertex at the origin

• A square with side length three

What is the center of the circle described by the equation X^2 + Y^2 = 9?

• At the origin

• At the point (3, 0)

• At the point (3, 3)

• At the point (0, 3)

What is the radius of the circle represented by the equation X^2 + Y^2 = 9?

• Four

• Two

• Three

• Nine