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.
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Intersected Arc from Inscribed Angle
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Find the length (in degrees) of intersected arc ND if angle NZD is 52.5º
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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/ |
| Find the length (in degrees) of intersected arc RB if angle RCB is 26.5º |
| 28º |
| 53º |
| 13º |
| 63º |
| 43º |
| 48º |
| Find the length (in degrees) of intersected arc CN if angle CZN is 44.5º |
| 74º |
| 109º |
| 22º |
| 84º |
| 104º |
| 89º |
| Find the length (in degrees) of intersected arc BC if angle BZC is 33.5º |
| 62º |
| 57º |
| 17º |
| 47º |
| 42º |
| 67º |
| Find the length (in degrees) of intersected arc ZC if angle ZNC is 40.5º |
| 81º |
| 101º |
| 86º |
| 61º |
| 20º |
| 96º |
| Find the length (in degrees) of intersected arc MX if angle MNX is 27.5º |
| 65º |
| 30º |
| 55º |
| 14º |
| 60º |
| 50º |
| Find the length (in degrees) of intersected arc MY if angle MZY is 24.5º |
| 54º |
| 44º |
| 69º |
| 49º |
| 24º |
| 12º |
| Find the length (in degrees) of intersected arc XR if angle XZR is 19.5º |
| 44º |
| 59º |
| 54º |
| 39º |
| 10º |
| 24º |