Exam 7: Circles

To determine the measure of , which expression should be calculated. (m   m )or (m   m )?

is circumscribed about the circle. If DF = 14, FG = 16, and DG = 12, find DM .

In a circle in which m   m , it follows that .

With the circle inscribed in , it follows that AR = AS , BS = BT , and CR = CT .

In , m = 103 ° and m = 77 ° . Which statement is false?

Congruent circles have the same length of radius while concentric circles have the same center.

is circumscribed about in such a way that . Which angle of has the greatest measure?

For cyclic quadrilateral ABCD , m and m . Determine the value of x .

Because intercepts of , m = m .

Chords , , and of are parallel and . Which chord lies nearest the center point P ?

If m = 37 ° , find m .

What is the measure of the angle formed by the hands of a clock at exactly 4:20 PM?

The length of radius of the circle shown is 10 inches. If CD = 12 inches and AB = 16 inches, how much closer to the center is chord than ?

If m = 75 ° in , then m = 275 °.

In the circle, m = 102 ° and m = 76 ° . Where M is the midpoint of , find m .

is tangent to at point B . If OB = 4 and AB = 3, find AC .

In the figure, suppose that auxiliary line segments and are drawn. What method allows you to conclude that ?

The circles shown have 4 common tangents, two of which are internal and two of which are external.

Externally tangent circles P and Q touch at point T and have the line of centers . How does one construct the common internal tangent for circles P and Q ?

In the figure, secants and intersect the circle at points R and S respectively. If m = 36 ° and m : m = 4:1, find m .