Finding the Equation of a Circle from Given Information

What is the center of a circle that passes through (-4, -6) and has a center at (-1, 5)?

• (1, -5)

• (5, -1)

• (-4, -6)

• (-1, 5)

How do you calculate the radius of a circle?

• By squaring the diameter

• Using the midpoint formula

• By doubling the circumference

• Using the distance formula

What is the radius of a circle with center (-1, 5) passing through (-4, -6)?

• 11

• Square root of 130

• 130

• 10

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

• (x - a)^2 + (y - b)^2 = r^2

• x^2 + y^2 = r^2

• (x + a)^2 + (y + b)^2 = r

• x^2 + y^2 = r

What is the equation of a circle with center (-1, 5) and radius square root of 130?

• (x - 1)^2 + (y + 5)^2 = 13

• (x + 1)^2 + (y - 5)^2 = 130

• (x + 1)^2 + (y - 5)^2 = 13

• (x - 1)^2 + (y + 5)^2 = 130

How do you find the center of a circle given the endpoints of its diameter?

• By squaring the diameter

• By finding the midpoint of the endpoints

• By using the distance formula

• By doubling the radius

What is the center of a circle if the endpoints of its diameter are (-1, 1) and (5, 9)?

• (0.5, 2.5)

• (-3, -4)

• (4, 10)

• (2, 5)

What is the radius of a circle if its diameter is 10 units?

• 2.5 units

• 20 units

• 10 units

• 5 units

What is the equation of a circle with center (2, 5) and radius 5?

• (x - 2)^2 + (y - 5)^2 = 25

• (x + 2)^2 + (y + 5)^2 = 25

• (x + 2)^2 + (y + 5)^2 = 5

• (x - 2)^2 + (y - 5)^2 = 5

What is the distance between two points (-1, 1) and (5, 9)?

• 10 units

• 12 units

• 8 units

• 14 units