Circle Equation Quiz

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

• (x + h)^2 + (y + k)^2 = r^2

• x^2 + y^2 + 2hx + 2ky = r^2

• x^2 + y^2 = r^2

• (x - h)^2 + (y - k)^2 = r^2

In the first example, what are the coordinates of the center of the circle?

• (17, 5)

• (5, 17)

• (12, 12)

• (0, 0)

What is the radius of the circle in the first example?

• 144

• 12

• 17

• 5

How do you find the additive inverse of a number?

• Divide by 2

• Change its sign

• Add 1

• Multiply by 2

In the second example, what is the given center of the circle?

• (8, 4)

• (-4, 2)

• (-8, -4)

• (4, -2)

Which formula is used to find the radius when a circle passes through a point?

• Slope Formula

• Pythagorean Theorem

• Distance Formula

• Quadratic Formula

What is the distance between the center (-8, -4) and the point (-4, 2)?

• 10

• Square root of 100

• 16

• Square root of 116

What is the simplified form of the square root of 116?

• Square root of 29

• 4 times the square root of 29

• Square root of 58

• 2 times the square root of 29

What is the equation of the circle in the second example?

• (x + 8)^2 + (y + 4)^2 = 116

• (x - 8)^2 + (y - 4)^2 = 116

• (x - 8)^2 + (y - 4)^2 = 144

• (x + 8)^2 + (y + 4)^2 = 116

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