Understanding the Equation of a Circle in Standard Form

What does the standard form of a circle's equation help us identify?

• The slope of the circle

• The center and radius of the circle

• The diameter of the circle

• The circumference of the circle

Tags

CCSS.HSG.GPE.A.1

If the center of a circle is at (-3, 4), what are the values of H and K?

• H = -4, K = 3

• H = 4, K = -3

• H = 3, K = -4

• H = -3, K = 4

Tags

CCSS.HSG.GPE.A.1

How do you determine the radius of a circle?

• By measuring the area and taking the square root

• By measuring the diameter and dividing by 2

• By measuring the circumference and dividing by π

• By measuring the distance from the center to any point on the circle

What is the radius of a circle if the distance from the center to the circle is 5 units?

• 7 units

• 10 units

• 5 units

• 2.5 units

Tags

CCSS.7.G.B.4

What is the standard form equation of a circle with center (-3, 4) and radius 5?

• (X + 3)^2 + (Y + 4)^2 = 25

• (X - 3)^2 + (Y - 4)^2 = 25

• (X + 3)^2 + (Y - 4)^2 = 25

• (X - 3)^2 + (Y + 4)^2 = 25

Tags

CCSS.HSG.GPE.A.1