Subjects geometry

Circle Arcs

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Circle Arcs


1. Problem 1: Find the measure of arc AN. Given angles inside circle R are 100°, 65°, and 30°. AE is a diameter. Arc AN measure can be either 65° or 30°, depending on interpretation. These are given as possible answers for coloring ears. 2. Problem 2: Find the measure of arc AI. Possible answers: 85° or 115°, used for hair drawing. 3. Problem 3: Find the measure of arc DAE. Possible answers: 180° or 280°, for hat drawing. 4. Problem 4: Find measure of angle LERI. Possible answers: 65° or 85°, for earrings. 5. Problem 5: Find measure of arc LNRE. Possible answers: 150° or 130°, for mouth drawing. 6. Using figure 2, if mLT=65°, find mL1. Possible answers: 25° or 32.5°, for eye shapes. 7. Using figure 2, if mAI=144°, find mL2. Possible answers: 62° or 72°, for eyebrows. 8. Using figure 2, if mL3=15°, find mLT. Possible answers: 30° or 7.5°, for nose. 9. Using figure 2, if mTA=44°, find mL6. Possible answers: 11° or 22°, for necklace or whistle. 10. Using figure 2, if mLI=124°, find mL7. Possible answers: 62° (vertical stripes) or 31° (horizontal stripes). 11. Using figure 2, if mL2=65°, find mL6. Possible answers: 50° (football) or 25° (soccer ball). 12. Measure of arc IAT. Possible answers: 90° (mud puddles) or 180° (tufts grass). 13. Figure 3, arc cut off by ⊥LB. Possible answers: CD (green earrings) or DE (purple earrings). 14. Figure 3, arc cut off by ⊥BCE. Possible answers: BE (brown ears) or DE (yellow ears). 15. Figure 3, arc cut off by ⊥EDB. Possible answers: CD (yellow hair) or BE (red hair). 16. Figure 3, arc cut off by ⊥BCD. Possible answers: BED (hat stripes black & white) or CED (black & blue). 17. Figure 3, arc cut off by ⊥CDB. Possible answers: BE (mouth pink outline) or BC (mouth red outline). 18. Figure 3, arc cut off by ⊥CED. Possible answers: BC (teeth brown) or CD (teeth black). 19. Figure 3, arc cut off by ⊥CDE. Possible answers: CBE (nose brown) or BED (nose orange). 20. Figure 4, measure of ⊥LAK. Possible answers: 130° (eyes green) or 90° (eyes blue). 21. Figure 4, measure of ⊥LAJ. Possible answers: 138° (eyebrows orange) or 108° (eyebrows red). 22. Figure 4, measure of ⊥KAM. Possible answers: 122° (face, neck, arms brown) or 132° (yellow). 23. Figure 4, measure of arc JK. Possible answers: 38° (neck object orange) or 48° (purple). 24. Figure 4, measure of arc JH. Possible answers: 32° (shirt stripes black & blue) or 42° (black & white). 25. Figure 5, measure of arc DFB. Possible answers: Major arc (ball brown) or Semicircle (ball black & white). 26. Figure 5, arc DE measure. Possible answers: Semicircle (goal post brown) or Minor arc (black). 27. Figure 5, arc EDB measure. Possible answers: Major arc (background green) or Minor arc (brown). Since only choices and coloring themes are provided without numeric computations or diagram specifics, we list given answer pairs for each question.