Circle Geometry and Transformations

The video tutorial explains the transformation of a circle, starting with the standard form equation. It demonstrates how to apply this equation to find the center and radius of a circle. The tutorial then discusses scaling the circle by a factor of 4, resulting in a new center and radius. Finally, it covers calculating the perimeter and area of the transformed circle using the new radius.

What is the main topic of the transformation question discussed in the video?

• Scaling a rectangle

• Transforming a circle

• Rotating a triangle

• Reflecting a square

Which of the following represents the standard form equation of a circle?

• x - h^2 + y - k^2 = r

• x - h^2 + y - k^2 = r^2

• x - h + y - k = r

• x^2 + y^2 = r^2

In the standard form of a circle, what do 'h' and 'k' represent?

• The diameter

• The radius

• The center coordinates

• The circumference

What is the center of the original circle in the problem?

• (4, 1)

• (-4, -1)

• (4, -1)

• (-4, 1)

What is the radius of the original circle?

• 2

• 3

• 4

• 5

By what factor is the circle scaled?

• 5

• 4

• 3

• 2

What is the new center of the circle after scaling?

• (16, -4)

• (8, -2)

• (12, -3)

• (20, -5)

What is the new radius of the circle after scaling?

• 15

• 6

• 9

• 12

What is the formula for the circumference of a circle?

• πd

• 2r

• 2πr

• πr^2

What is the formula for the area of a circle?

• 2πr

• πd

• πr^2

• 2r