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 DNC if angle DBC is 28.5º
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 DXY if angle DRY is 17.5º |
| 15º |
| 10º |
| 30º |
| 35º |
| 9º |
| 40º |
| Find angle XDC if angle XMC is 21.5º |
| 48º |
| 11º |
| 18º |
| 43º |
| 38º |
| 63º |
| Find angle BYM if angle BRM is 23.5º |
| 22º |
| 32º |
| 12º |
| 47º |
| 37º |
| 62º |
| Find angle BMX if angle BPX is 52.5º |
| 110º |
| 95º |
| 115º |
| 100º |
| 26º |
| 105º |
| Find angle RCD if angle RPD is 64.5º |
| 124º |
| 149º |
| 129º |
| 32º |
| 139º |
| 114º |
| Find angle PXR if angle PDR is 35.5º |
| 56º |
| 71º |
| 91º |
| 81º |
| 66º |
| 18º |
| Find angle DPR if angle DNR is 26.5º |
| 28º |
| 53º |
| 58º |
| 48º |
| 13º |
| 63º |