Chapter 10 review

Question 1

Formula for arc length (degrees):

Answer 1

n/360 * 2πr

Question 2

Formula for arc length (radians):

Answer 2

s=0r

Question 3

Formula for sector:

Answer 3

A = n/360 * π (r)^2

Question 4

Formula for segment:

Answer 4

A = n/360 * π (r)^2 - 1/2 (b)(c)sin(n)

Question 5

The intercepted arc is…

Answer 5

two times the measure of the intercepted angle

Question 6

The measure of an angle formed by two lines that intersect outside a circle is half the difference of the measures of the intercepted arcs:

Answer 6

Angle outside = 1/2 (360-number)-n)

Question 7

An angle formed by two lines that intersect outside of the circle is half the difference between the measures of the intercepted arcs:

Answer 7

m<1 = 1/2 (b-a)

Question 8

An angle formed by two secant lines inside the circle is the average of the measures of the intercepted arcs:

Answer 8

m<1 = 1/2 (b+a)

Question 9

A chord that is intersected has an equal measure:

Answer 9

ab=cd

Question 10

Lines that intersect outside the circle but the other end touches the circle’s circumference, the lengths of the segments are the same:

Answer 10

(n+m)n = (q+p)q

Question 11

The product of the lengths of the two segment parts is the same as the length of the other one segment:

Answer 11

x^2 = (z+y)z

Question 12

Tangent Theorems

Answer 12

The radius that contains the point of tangency is perpendicular.
Two segments that intersect and are tangent are congruent.

Question 13

Chord Theorems

Answer 13

Chords in triangles are congruent only if the central angles are congruent.
Two chords are congruent only if the chords intercept congruent arcs.