Equations of Circles

Front

What is the standard equation of a circle with center (0,0) and radius r?

Back

Front

What are the coordinates of the center and the radius of the circle given by the equation (x - h)^2 + (y - k)^2 = r^2?

Back

Center: (h, k), Radius: r.

Front

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

Back

Front

Back

Front

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

Back

Front

What is the standard form of the equation of a circle with center at the origin and radius 10?

Back

Front

If a circle has the equation (x - 4)^2 + (y + 4)^2 = 25, what is the center and radius?

Back

Center: (4, -4), Radius: 5 units.

Front

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

Back

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

Front

What is the relationship between the radius and the area of a circle?

Back

Front

How can you determine if a point (x,y) lies inside, on, or outside a circle?

Back

Calculate the distance from the center to the point and compare it to the radius. If distance < radius, inside; = radius, on; > radius, outside.