Unit 8 |Circles Cumulative Assignment

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

The circumference (C) of a circle is given by the formula C = 2πr, where r is the radius.

The area (A) of a circle is given by the formula A = πr², where r is the radius.

A chord is a line segment whose endpoints lie on the circle.

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

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

A sector is a region enclosed by two radii and the arc between them.

The length of an arc is directly proportional to the measure of the central angle that subtends it.

The inscribed angle is half the measure of the intercepted arc.

The angle formed by two tangents drawn from a point outside the circle is equal to half the difference of the measures of the intercepted arcs.