U6 Circles Review M3

Front

What is a circle?

Back

A circle is a shape consisting of all points in a plane that are a fixed distance (radius) from a central point (center).

Front

Define radius in 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 is the longest distance across the circle, passing through the center.

Front

What is the circumference of a circle?

Back

The circumference is the distance around the circle, calculated as C = 2πr, where r is the radius.

Front

How do you calculate the area of a circle?

Back

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

Front

What is an arc in a circle?

Back

An arc is a portion of the circumference of a circle.

Front

Define 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 are radii that extend to the circumference.

Front

What is the relationship between the central angle and the arc length?

Back

The length of an arc is directly proportional to the central angle that subtends it, calculated as L = (θ/360) * C, where θ is the angle in degrees.

Front

How do you find the length of an arc given the radius and central angle?

Back

The length of an arc can be found using the formula L = rθ, where θ is in radians.

Front

What is the formula for the area of a sector of a circle?

Back

The area of a sector is given by A = (θ/360) * πr², where θ is the central angle in degrees.