This math topic focuses on the geometry of circles, specifically dealing with the relationships and calculations involving inscribed angles and their intersected arcs. Skills being practiced include understanding and computing the measurements of angles formed when two points on a circle's circumference are connected by a chord that intersects at another point on the circumference, given the degree measure of the arc intercepted by the angle. These problems are designed to enhance comprehension of geometric properties associated with circles, enhancing students' ability to work through and apply fundamental concepts in circle geometry.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Inscribed Angle from Intersected Arc
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Find angle CZP if the intersected arc CP is 64º
Geometry of Circles - Inscribed Angle from Intersected Arc Worksheet
| Math worksheet on 'Geometry of Circles - Inscribed Angle from Intersected Arc (Level 1)'. Part of a broader unit on 'Geometry - Intermediate - Intro' Learn online: app.mobius.academy/math/units/geometry_intermediate_intro/ |
| Find angle CMX if the intersected arc CX is 50º |
| 45º |
| 35º |
| 5º |
| 100º |
| 25º |
| 0º |
| Find angle XPB if the intersected arc XB is 98º |
| 54º |
| 49º |
| 29º |
| 64º |
| 69º |
| 196º |
| Find angle YMD if the intersected arc YD is 64º |
| 22º |
| 128º |
| 52º |
| 32º |
| 27º |
| 37º |
| Find angle NZD if the intersected arc ND is 96º |
| 23º |
| 63º |
| 53º |
| 48º |
| 192º |
| 28º |
| Find angle YCZ if the intersected arc YZ is 94º |
| 37º |
| 67º |
| 47º |
| 32º |
| 27º |
| 188º |
| Find angle DPB if the intersected arc DB is 52º |
| 26º |
| 16º |
| 6º |
| 21º |
| 104º |
| 41º |
| Find angle MBY if the intersected arc MY is 94º |
| 62º |
| 188º |
| 37º |
| 22º |
| 47º |
| 32º |