Deriving the Equation of a Circle

What is the equation for the circle whose endpoints of the diameter are (3,–4) and (–5,–4)?

• (x + 1)² + (y + 4)² = 16

• (x + 1)² + (y – 4)² = 16

• (x – 1)² + (y – 4)² = 4

• (x + 1)² + (y + 4)² = 4

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle with center (-13,6) and radius 5?

Tags

CCSS.HSG.GPE.A.1

Which of the following equations of circles in standard form with center at (-5, -8) and a radius of 6 units?

• (x - 5)² - (y - 8)² = 36

• (x + 5)² - (y + 8)² = 36

• (x + 5)² - (y + 8)² = 36

• (x + 5)² + (y + 8)² = 36

Tags

CCSS.HSG.GPE.A.1

What equation do you get when you plug (12, -12) into the general form of the circle equation and simplify?

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle, with centre (4,2) and radius 5 units?

• (x + 4)^2 + (y + 2)^2 = 25

• (x + 4)^2 + (y + 2)^2 = 5

• (x - 4)^2 + (y - 2)^2 = 5

• (x - 4)^2 + (y - 2)^2 = 25

Tags

CCSS.HSG.GPE.A.1

In the equation for a circle, (x-h)²+(y-k)²= r², what part of the circle do the h, k and r represent?

• r is the hypotenuse, h and k are points on the circle

• r is the radius, h and k are points on the circle

• r is the roundness, h and k represent the center

• r is the radius, h and k represent the center

Tags

CCSS.HSG.GPE.A.1

A circle is passing through the points (0, 0) and (6, 12). Its center is on the line y=x+3. Which is the equation of the circle?

Tags

CCSS.HSG.GPE.A.1

In the equation (x + 2)² + (y - 3)² = 4, the radius of the circle is...

• 4

• 2

• 3

• 16

Tags

CCSS.HSG.GPE.A.1

Which of the following equations of circles in standard form with center at (-3, 4) and a radius of 5 units?

• x² - y² = 25

• x² + y² = 25

• (x - 3)² + (y + 4)² = 25

• (x + 3)² + (y - 4)² = 25

Tags

CCSS.HSG.GPE.A.1

Write the equation of the circle in general form.

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1