Inscribed Angles, Central Angles, and Intercepted Arcs
Angles
Segments
Standard Form
General Form
10

Find the measure of the two angles 

25 degrees

10

What is the measurement of angle ABC?

60 degrees

10

What is x? Round off to two decimal places.

17.56

10

What is the distance between (1,2) and (4,6)?

5

10

Convert the general form equation 

x2 + 10y - 11 = -y2 + 6x

into standard form.

(x-3)2 + (y+5)2 = 45


20

Find angle AOC

86 degrees

20

What is the value of x?

43 degrees

20

What is x? Put into simplest radical form.

4 root 7

20

What is the distance between (1,3) and (7,6)? Put your answer in simplest radical form


3 root 5

20

Convert the general form equation 

2x2 + 4y2 - 12x+ 8y- 14= 0 

into standard form. 

(x-3)2 + (y+2)2 = 27

30


20 degrees

30

What is the value of x?

49 degrees

30

15

30

What is the equation of a circle whose center is (1,1) and point (3,3) lies on the circle? 

(x-1)2 + (y-1)2 = 8

30

Convert the general form equation 

x2 + y2 -4x = 8y + 5 

into standard form.

(x-2)2 + (y-4)2 = 25

40

Find 

60

40

If the measure of arc DE is 136 degrees and the measure of angle C is 44 degrees, find the measure of arc FH. 

48 degrees

40


x =10

40

What is the equation of a circle whose center is (-3,5) and radius is 6

(x+3)2 + (y-5)2 = 36

40

Convert the general form equation 

x2 + y2 - 12y = 13 

into standard form.

x2 + (y-6)= 7


50

Find x

44

50

Find arc DB

44

50

Find x in simplest radical form

5 root 6

50

Write the equation of a circle whose center is (1,6) and point (-3,6) lies on the circle. 

(x-1)2 + (y-6)2 = 16

50

Convert the general form equation 

x2 + y2 -4x + 6y = 3

into standard form.

(x-2)+ (y+3)2 = 16