This math topic explores the relationships between central angles and inscribed angles in a circle, focusing specifically on calculating central angles when given corresponding inscribed angles. Each of the problems presents a different circle configuration, and learners are tasked with finding specific central angles based on the given inscribed angles. The set of answers for each question requires learners to understand and apply theorems relating to angles in circles, ensuring a deeper comprehension of circle geometry at an intermediate level.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
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Central Angle from Inscribed
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
Find angle DPY if angle DCY is 34º
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Geometry of Circles - Central Angle from Inscribed Worksheet
| Math worksheet on 'Geometry of Circles - Central Angle from Inscribed (Level 1)'. Part of a broader unit on 'Geometry - Intermediate - Intro' Learn online: app.mobius.academy/math/units/geometry_intermediate_intro/ |
| Find angle DPY if angle DCY is 34º |
| 78º |
| 68º |
| 17º |
| 83º |
| 63º |
| 58º |
| Find angle MCD if angle MND is 52º |
| 26º |
| 79º |
| 89º |
| 84º |
| 104º |
| 109º |
| Find angle XNP if angle XZP is 33º |
| 76º |
| 17º |
| 66º |
| 71º |
| 81º |
| 61º |
| Find angle CMX if angle CBX is 32º |
| 64º |
| 59º |
| 16º |
| 49º |
| 79º |
| 44º |
| Find angle YMZ if angle YNZ is 42º |
| 84º |
| 79º |
| 94º |
| 74º |
| 21º |
| 64º |
| Find angle PZB if angle PMB is 33º |
| 66º |
| 46º |
| 81º |
| 51º |
| 17º |
| 41º |
| Find angle NZC if angle NPC is 38º |
| 61º |
| 96º |
| 76º |
| 56º |
| 86º |
| 19º |