Circles 1 - Equations of Circles

Front

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

Back

(x - h)² + (y - k)² = r²

Front

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

Back

(x - 7)² + y² = 9

Front

What is the center of the circle with equation x² + y² = 1?

Back

(0, 0)

Front

What is the equation of a circle with radius 3 centered at the origin?

Back

x² + y² = 9

Front

Determine the center and radius of the circle given by the equation: x² + y² - 10x + 8y - 8 = 0.

Back

Center: (5, -4), Radius: 7

Front

What are the coordinates of the center and the radius of the circle with equation (x - 4)² + (y - 3)² = 25?

Back

Center: (4, 3), Radius: 5 units

Front

What does the term 'radius' refer to in a circle?

Back

The radius is the distance from the center of the circle to any point on its circumference.

Front

How do you find the radius from the equation of a circle in standard form?

Back

The radius is the square root of the constant on the right side of the equation (r²).

Front

What is the general form of a circle's equation?

Back

x² + y² + Dx + Ey + F = 0

Front

What is the center of a circle represented by the equation x² + y² + 6x - 4y + 9 = 0?

Back

Center: (-3, 2)