This math topic focuses on the geometry of circles, specifically on understanding the relationship between central and inscribed angles. Students are tasked with solving problems that require calculating unknown angles based on given inscribed angles within various circle diagrams. Each question provides a numerical measure of an inscribed angle, and multiple choice answers for the corresponding central angle. These problems are designed to enhance students' skills in geometric reasoning and the properties of circles at an intermediate level.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Central Angle from Inscribed
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Find angle BCZ if angle BNZ is 31.5º
Geometry of Circles - Central Angle from Inscribed Worksheet
| Math worksheet on 'Geometry of Circles - Central Angle from Inscribed (Level 2)'. Part of a broader unit on 'Geometry - Intermediate - Intro' Learn online: app.mobius.academy/math/units/geometry_intermediate_intro/ |
| Find angle DNC if angle DBC is 68.5º |
| 142º |
| 34º |
| 137º |
| 157º |
| 122º |
| 132º |
| Find angle NMY if angle NCY is 43.5º |
| 77º |
| 62º |
| 22º |
| 72º |
| 87º |
| 67º |
| Find angle ZXN if angle ZDN is 27.5º |
| 65º |
| 14º |
| 30º |
| 55º |
| 70º |
| 45º |
| Find angle BYM if angle BCM is 42.5º |
| 100º |
| 70º |
| 85º |
| 75º |
| 21º |
| 80º |
| Find angle MZN if angle MPN is 40.5º |
| 61º |
| 20º |
| 71º |
| 81º |
| 56º |
| 96º |
| Find angle BXP if angle BZP is 44.5º |
| 99º |
| 94º |
| 64º |
| 69º |
| 22º |
| 89º |
| Find angle DPZ if angle DNZ is 46.5º |
| 23º |
| 93º |
| 108º |
| 103º |
| 88º |
| 113º |