Unit 11 Circles - Equations of Circles

Front

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

Back

The radius is 2.

Front

What is the standard equation of a circle?

Back

(x-h)² + (y-k)² = r²

Front

What does (h,k) represent in the standard circle equation?

Back

(h,k) is the center of the circle.

Front

Which graph corresponds to (x+2)² + (y-3)² = 36?

Back

Graph A.

Front

In the equation (x-3)²+(y-2)²=16, what is the center of the circle?

Back

The center is (3,2).

Front

What is the value of r in the equation (x-1)² + (y+4)² = 25?

Back

The radius r is 5.

Front

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

Back

The center (h,k) can be found from the equation (x-h)² + (y-k)² = r².

Front

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

Back

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

Front

If the equation of a circle is (x+1)² + (y-2)² = 9, what is the radius?

Back

The radius is 3.

Front

What does the term 'standard form' refer to in the context of circle equations?

Back

Standard form refers to the equation (x-h)² + (y-k)² = r².