Coordinate Geometry - Circles Equations and Applications

A circle's equation is (x-1)² + y² = 25. What is the area of the circle?

• 25

• 25π

• 12.5

• 12.5π

The equation of a circle is x² + y² +4x - 6y - 3 = 0. What is the circumference of the circle?

• 16π

• 3π

• 2π

• 8π

What are the center and radius of the circle if its equation is x² + y² = 100?

• The center is at the origin, and the radius is ten.

• The center is at the origin, and the radius is one hundred.

• The center is at (0, 10), and the radius is one hundred.

• The center is at (10, 0), and the radius is ten.

A circle is centered at (4, -2) and has a radius of √10. What is the equation of the circle?

• (x - 4)² + (y + 2)² = √10

• (x - 4)² + (y + 2)² = 10

• (x + 4)² + (y - 2)² = 10

• (x + 4)² + (y - 2)² = √10

What is the equation of a circle whose diameter is 24 and whose center is at the origin? 

• x²+y²=125
• x²+y²=64
• x²+y²=144
• x²+y²=576

Tags

CCSS.HSG.GPE.A.1

What is the radius of the circle with this equation of  (x-5)²+(y+7)²=8?

• 4
• 8
• 4√2
• 2√2

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle?

• (x+1)² + (y +1)² = 3
• (x+1)² + (y -1)² = 3
• (x+1)² + (y +1)² = 9
• (x-1)² + (y -1)² = 9

Tags

CCSS.HSG.GPE.A.1

What is the center for the circle with this equation
x²+y²+4x+6y-36=0?

• (-4,-6)
• (4, 6)
• (2, 3)
• (-2,-3)

What is the equation for this circle?

• (x+1)+(y+1)=9
• x²+y²=9
• x+y=9

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

• (x - 7)² + y² = 9
• x² + (y -7)² = 9
• (x - 7)² + y² = 3
• x² + (y -7)² = 3