Geometry of Circles - Intersected Arc from Inscribed Angle (Level 2)

This math topic focuses on calculating the lengths of intersected arcs within circles, determined from provided inscribed angles. It encompasses a series of problems where each asks to find the arc length in degrees based on a given angle. Each problem provides multiple-choice answers. This topic is part of an intermediate introduction to geometry, specifically dealing with the geometry of circles. Each question includes a visual representation (diagram) of the circle with marked arcs and angles to aid in solving the problem.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Geometry of Circles - Intersected Arc from Inscribed Angle Worksheet

Math worksheet on 'Geometry of Circles - Intersected Arc from Inscribed Angle (Level 2)'. Part of a broader unit on 'Geometry - Intermediate - Intro' Learn online: app.mobius.academy/math/units/geometry_intermediate_intro/

1

Find the length (in degrees) of intersected arc NX if angle NRX is 37.5º

a

75º

b

55º

c

85º

d

80º

e

50º

f

19º

2

Find the length (in degrees) of intersected arc BX if angle BYX is 53.5º

a

127º

b

102º

c

27º

d

87º

e

82º

f

107º

3

Find the length (in degrees) of intersected arc NM if angle NXM is 19.5º

a

59º

b

49º

c

10º

d

14º

e

39º

f

34º

4

Find the length (in degrees) of intersected arc MR if angle MNR is 15.5º

a

31º

b

41º

c

21º

d

36º

e

8º

f

26º

5

Find the length (in degrees) of intersected arc MP if angle MXP is 24.5º

a

12º

b

59º

c

64º

d

54º

e

69º

f

49º

6

Find the length (in degrees) of intersected arc RB if angle RCB is 26.5º

a

28º

b

48º

c

63º

d

53º

e

43º

f

13º

7

Find the length (in degrees) of intersected arc XR if angle XZR is 19.5º

a

54º

b

39º

c

24º

d

44º

e

59º

f

10º