Circles Review 2024

Front

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

Back

(x - h)² + (y - k)² = r²

Front

What is a minor arc in a circle?

Back

A minor arc is the shorter arc connecting two points on the circumference of a circle.

Front

What is the formula to find the radius of a circle from its equation (x-h)² + (y-k)² = r²?

Back

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

Front

What is a central angle in a circle?

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides intersect the circle.

Front

How do you identify a major arc in a circle?

Back

A major arc is the longer arc connecting two points on the circumference of a circle.

Front

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

Back

The diameter is twice the length of the radius (d = 2r).

Front

What is the circumference of a circle?

Back

The circumference C is given by the formula C = 2πr, where r is the radius.

Front

What is the area of a circle?

Back

The area A is given by the formula A = πr², where r is the radius.

Front

What is the difference between a chord and a diameter?

Back

A chord is a line segment with both endpoints on the circle, while a diameter is a chord that passes through the center of the circle.

Front

What does it mean for a circle to be inscribed in a polygon?

Back

A circle is inscribed in a polygon if it touches all sides of the polygon at exactly one point.