Quiz about Solving for Circle Angles and Arcs

Question 1

Find the measure of the missing angle. (Hint: Central Angles)

Accepted Answer

50

Answer

60

Answer

310

Answer

155

Question 2

What is the measure of the missing angle in degrees? (Hint: Inscribed Angle)

Accepted Answer

51

Answer

102

Answer

204

Answer

40

Question 3

If an inscribed angle intercepts a diameter, then it is a(n) _ angle.

Accepted Answer

Right

Answer

Obtuse

Answer

Acute

Question 4

Find the measure of the missing angle in degrees. (Hint: Overlapping Arcs and Inscribed Angles)

Accepted Answer

41

Answer

37

Answer

82

Answer

164

Question 5

Find the measure of arc RT.

Accepted Answer

142

Answer

98

Answer

155

Answer

187

Question 6

Solve for angle "x" in degrees. (Hint: Intersecting Exterior Secants- Finding Arcs and Angles)

Accepted Answer

60

Answer

55

Answer

115

Answer

87

Question 7

Find the measure of the missing angle in degrees. (Hint: Intersecting Chords)

Accepted Answer

79

Answer

57

Answer

22

Answer

83

Question 8

Find the measure of the missing arc in degrees. (Hint: Intersecting Chords)

Accepted Answer

71

Answer

103

Answer

16

Answer

94

Question 9

What is the formula to use to find a central angle

Accepted Answer

Central Angle = Intercepted Arc

Answer

$$\frac{Central\ Angle}{Intercepted\ Arc}$$

Answer

$$\frac{Intercepted\ Arc}{2}$$

Answer

2(Intercepted Arc)

Question 10

If a quadrilateral is inscribed in a circle, the opposite angles are

Accepted Answer

Supplementary

Answer

Congruent

Answer

Complimentary

Question 11

What is the formula to use when solving for an intercepted arc of an inscribed angle?

Accepted Answer

2(Inscribed Angle)

Answer

$$\frac{Inscribed\ Angle}{2}$$

Answer

Equal to the Inscribed Angle

Answer

$$\frac{2(Inscribed\ Angle)}{2}$$

Question 12

If 2 inscribed angles intercept the same arc, they are _.

Accepted Answer

Congruent

Answer

Supplementary

Answer

Complimentary

Question 13

What is the formula to use when solving for an exterior angle formed by 2 exterior intersecting secants, an exterior intersecting secant and tangent, or 2 exterior intersecting tangents of a circle?

Accepted Answer

$$\frac{Major\ Arc-Minor\ Arc}{2}$$

Answer

$$\frac{Major\ Arc\ +Minor\ Arc}{2}$$

Answer

2(Major Arc + Minor Arc)

Answer

Major Arc - Minor Arc

Question 14

What is the formula to use when solving for arcs/angles in circles with intersecting chords?

Accepted Answer

$$\frac{Major\ Arc+Minor\ Arc}{2}$$

Answer

$$\frac{Minor\ Arc-Major\ Arc}{2}$$

Answer

$$Major\ Arc-Minor\ Arc$$

Answer

$$\frac{Major\ Arc-Minor\ Arc}{2}$$

Question 15

What is the formula to use when solving for an inscribed angle?

Accepted Answer

$$\frac{Intercepted\ Arc}{2}$$

Answer

Equal to the Intercepted Arc

Answer

2(Intercepted Arc)

Answer

$$\frac{2(Intercepted\ Arc)}{2}$$

Solving for Circle Angles and Arcs

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