Circle Geometry Concepts

Front

What is the distance around a circle called?

Back

Circumference

Front

What is the equation of a circle with center (7, 0) and radius 3?

Back

(x - 7)² + y² = 9

Front

What is the equation of a circle with center (-1, -1) and radius 3?

Back

(x + 1)² + (y + 1)² = 9

Front

What is the radius 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 diameter of a circle?

Back

The diameter is twice the length of the radius and passes through the center of the circle.

Front

How do you determine if a point is inside, outside, or on a circle?

Back

Use the circle's equation and substitute the point's coordinates. Compare the result to the radius squared.

Front

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

Back

(x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.

Front

What does the term 'concentric circles' mean?

Back

Concentric circles are circles that share the same center but have different radii.

Front

What is the area of a circle?

Back

The area is calculated using the formula A = πr², where r is the radius.

Front

What is the relationship between the radius and diameter?

Back

The diameter is equal to 2 times the radius (d = 2r).