EOC Review Video - Circles

In the standard form equation of a circle, (x - h)² + (y - k)² = r², what do 'h' and 'k' represent?

• The x and y coordinates of a point on the circle.

• The x and y coordinates of the center of the circle.

• The radius and diameter of the circle.

• The x and y intercepts of the circle.

What is the center and radius of the circle represented by the equation (x + 3)² + (y - 2)² = 9?

• Center: (3, -2), Radius: 9

• Center: (-3, 2), Radius: 3

• Center: (3, -2), Radius: 3

• Center: (-3, 2), Radius: 9

A circle is tangent to the x-axis and y-axis. If its center is (2√3, 2√3), what is the equation of the circle in standard form?

• (x - 2√3)² + (y - 2√3)² = 6

• (x + 2√3)² + (y + 2√3)² = 12

• (x - 2√3)² + (y - 2√3)² = 12

• (x - 2√3)² + (y - 2√3)² = 2√3

Which is an equation of a circle that has a center (-3, 2) and passes through the point (4, 3)?

• (x - 3)^2 + (y + 2)^2 = 50

• (x + 3)^2 + (y - 2)^2 = 50

• (x - 4)^2 + (y - 3)^2 = 25

• (x + 3)^2 + (y - 2)^2 = 25

What are the center and radius of the circle given by the equation x^2 + y^2 + 8x - 6y - 11 = 0?

• C = (-4, 3), r = 6

• C = (4, -3), r = 6

• C = (8, -6), r = 11

• C = (-4, 3), r = 36

What is the radius of a circle with the equation (x - 2)^2 + (y + 5)^2 = 49?

• 49

• 2

• 7

• 5

What is the center of the circle with the general equation x^2 + y^2 + 12y - 8x = 10?

• (4, -6)

• (-8, 12)

• (8, 12)

• (-4, 6)