Quiz on Circle Equations and Concepts

What is the standard form of the equation of a circle with center at the origin?

• x^2 - y^2 = r^2

• x^2 + y^2 = 0

• x^2 + y^2 = 2r

• x^2 + y^2 = r^2

What is the equation of a circle with center at (h, k) and radius r?

• (x - h)^2 - (y - k)^2 = r^2

• (x + h)^2 + (y - k)^2 = r^2

• (x + h)^2 + (y + k)^2 = r^2

• (x - h)^2 + (y - k)^2 = r^2

What is the distance from the origin to the point (30, 40)?

• 50 km

• 40 km

• 70 km

• 30 km

What would be the y-coordinate of the plane if its x-coordinate is 10?

• 20

• 30

• 40

• 10

Is it possible for the plane to have an x-coordinate of 60 while maintaining its altitude?

• Only if it changes altitude

• Yes

• No

• Only if it changes direction

What is the equation of a circle with center at (5, 3) and radius 12?

• (x - 5)^2 + (y + 3)^2 = 144

• (x + 5)^2 + (y - 3)^2 = 144

• (x + 5)^2 + (y + 3)^2 = 144

• (x - 5)^2 + (y - 3)^2 = 144

What is the equation of a circle with center at (-2, -7) and radius 7?

• (x + 2)^2 + (y - 7)^2 = 49

• (x - 2)^2 + (y - 7)^2 = 49

• (x - 2)^2 + (y + 7)^2 = 49

• (x + 2)^2 + (y + 7)^2 = 49

What is the equation of a circle with center at (10, -8) and radius 53?

• (x + 10)^2 + (y + 8)^2 = 2809

• (x - 10)^2 + (y - 8)^2 = 2809

• (x + 10)^2 + (y - 8)^2 = 2809

• (x - 10)^2 + (y + 8)^2 = 2809

What is the equation of a circle with center at (2, 2) and radius 35?

• (x + 2)^2 + (y + 2)^2 = 1225

• (x - 2)^2 + (y + 2)^2 = 1225

• (x - 2)^2 + (y - 2)^2 = 1225

• (x + 2)^2 + (y - 2)^2 = 1225

What is the equation of a circle with center at (-3, -5) and radius 6?

• (x + 3)^2 + (y - 5)^2 = 36

• (x - 3)^2 + (y + 5)^2 = 36

• (x + 3)^2 + (y + 5)^2 = 36

• (x - 3)^2 + (y - 5)^2 = 36