Lesson 10 Bell Day 2 G2 Equations of Circles

Front

What is the standard equation of a circle?

Back

The standard equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.

Front

What does the center of a circle represent in its equation?

Back

The center of a circle is the point (h, k) in the equation (x - h)² + (y - k)² = r².

Front

How do you identify the radius from the equation of a circle?

Back

The radius is the square root of the value on the right side of the equation in the standard form (x - h)² + (y - k)² = r².

Front

What is the center of the circle given by the equation (x - 1)² + (y + 2)² = 16?

Back

The center is (1, -2).

Front

What is the radius of the circle given by the equation (x + 3)² + (y - 4)² = 25?

Back

The radius is 5 units.

Front

If a circle has the equation x² + y² = 36, what is its center and radius?

Back

Center: (0, 0), Radius: 6 units.

Front

What is the significance of the number on the right side of the circle's equation?

Back

It represents the square of the radius of the circle.

Front

How can you convert the general form of a circle's equation to standard form?

Back

Complete the square for both x and y terms to rewrite the equation in standard form.

Front

What are the coordinates of the center and radius of the circle with equation (x - 5)² + (y + 1)² = 9?

Back

Center: (5, -1), Radius: 3 units.

Front

What is the equation of a circle with center at (0, 0) and radius 4?

Back

The equation is x² + y² = 16.