This math topic focuses on the geometry of circles, specifically the relationship between inscribed angles and their corresponding central angles. It challenges learners to calculate the measures of various inscribed angles based on given central angles within different circle configurations. The problems are presented with multiple-choice answers, enabling practice in applying geometric principles to solve for unknown angles in a circle's context at an intermediate level. This practice is part of a broader introductory unit on intermediate geometry.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Inscribed Angle from Central
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
Find angle YDZ if angle YBZ is 49.5º
Geometry of Circles - Inscribed Angle from Central Worksheet
| Math worksheet on 'Geometry of Circles - Inscribed Angle from Central (Level 2)'. Part of a broader unit on 'Geometry - Intermediate - Intro' Learn online: app.mobius.academy/math/units/geometry_intermediate_intro/ |
| Find angle CRN if angle CXN is 19.5º |
| 49º |
| 10º |
| 39º |
| 59º |
| 24º |
| 44º |
| Find angle CDP if angle CNP is 33.5º |
| 87º |
| 62º |
| 17º |
| 67º |
| 77º |
| 57º |
| Find angle DMR if angle DBR is 17.5º |
| 45º |
| 35º |
| 20º |
| 9º |
| 10º |
| 55º |
| Find angle RCD if angle RPD is 64.5º |
| 139º |
| 114º |
| 32º |
| 129º |
| 124º |
| 149º |
| Find angle YNB if angle YZB is 37.5º |
| 70º |
| 55º |
| 60º |
| 95º |
| 19º |
| 75º |
| Find angle YMN if angle YXN is 59.5º |
| 119º |
| 30º |
| 109º |
| 134º |
| 129º |
| 104º |
| Find angle ZYX if angle ZMX is 54.5º |
| 109º |
| 27º |
| 84º |
| 124º |
| 129º |
| 94º |