Equation of a Circle

A line segment with endpoints on a circle that passes through the center of the circle is called the...

• Radius

• Diameter

• Chord

• Tangent

The distance around a circle

is called the...

• Diameter

• Radius

• Circumference

• Area

Tags

CCSS.HSG.GMD.A.1

Write the equation of a circle with center (h,k) and radius r.

• x^2 + y^2  = r^2
• (x + h)^2 +  (y + h)^2 = r^2
• (x - h)^2 + (y - k)^2 = r^2
• (x - h)^2 - (h - k)^2 = r

Tags

CCSS.HSG.GPE.A.1

Write the equation of a circle with center at the origin and a radius of length 6.

• x^2 + y^2 = 6

• x^2 + y^2 = 36

• x + y = 6

• x + y = 36

What is the center of a circle with equation (x-4)² + y² = 5?

• (-4, 0)
• (4, 0)
• (4, 1)
• (-4, 1)

Tags

CCSS.HSG.GPE.A.1

Write the equation of a circle with center (7, 0) with radius 3. 

• (x - ^7)^2 + y^2 = 9
• x^2 + (y -7)^2 = 9
• (x - 7)^2 + y^2 = 3
• x^2 + (y -7)^2 = 3

Tags

CCSS.HSG.GPE.A.1

What is the equation of this circle?

• (x - 3)² + (y + 1)² = 3

• (x - 3)² + (y + 1)² = 9

• (x + 3)² + (y - 1)² = 9

• (x + 3)² + (y - 1)² = 3

What is the circle equation?

• (x+12)²+(y+9)²=17π

• (x-9)²+(y-12)²=72.25

• (x+9)²+(y+12)²=72.25

• (x-12)²+(y-9)²=17π

The point (-5,6) is on a circle with center (-1,3) write the equation of the circle (hint: remember distance between any point on the circle and the center is the radius length!)

• (x+1)² + (y-3)²= 4000

• (x+5)² + (y-0)²= 25

• (x+1)² + (y-3)²= 25

• (x-1)² + (y+3)²= 25

Find the center if the endpoints of the diameter are at (-12, -7) and (3, 5). (Hint - the center is the midpoint of the diameter!)

• (-4.5, -1)

• (-7.5, -6)

• (4.5, 1)

• (7.5, 6)