Circle Arcs
1. Problem 1 asks to find the measure of arc AN.
Given angles inside circle R are 100°, 65°, and 30°. AE is a diameter.
Assuming arcs are related to these angles, arc AN measure is given as 65° or 30°.
Without the figure, just recognize arc AN can be 65° or 30° (answers for coloring ears).
2. Problem 2 asks to find measure of arc AI.
Arc AI can be 85° or 115° according to the problem statements for hair drawing.
3. Problem 3 asks to find measure of arc DAE.
Possible answers: 180° or 280° for hat drawing.
4. Problem 4 wants measure of angle LERI.
Answers: 65° or 85° for earrings.
5. Problem 5 is 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 eyes 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.
Answers: 62° (vertical stripes) or 31° (horizontal stripes).
11. Using figure 2, if mL2=65°, find mL6.
Answers: 50° (football) or 25° (soccer ball).
12. Measure of arc IAT.
Answers: 90° (mud puddles) or 180° (tufts grass).
13. Figure 3, arc cut off by ⊥LB.
Answers: CD (green earrings) or DE (purple earrings).
14. Figure 3, arc cut off by ⊥BCE.
Answers: BE (brown ears) or DE (yellow ears).
15. Figure 3, arc cut off by ⊥EDB.
Answers: CD (yellow hair) or BE (red hair).
16. Figure 3, arc cut off by ⊥BCD.
Answers: BED (hat stripes black & white) or CED (black & blue).
17. Figure 3, arc cut off by ⊥CDB.
Answers: BE (mouth pink outline) or BC (mouth red outline).
18. Figure 3, arc cut off by ⊥CED.
Answers: BC (teeth brown) or CD (teeth black).
19. Figure 3, arc cut off by ⊥CDE.
Answers: CBE (nose brown) or BED (nose orange).
20. Figure 4, measure of ⊥LAK.
Answers: 130° (eyes green) or 90° (eyes blue).
21. Figure 4, measure of ⊥LAJ.
Answers: 138° (eyebrows orange) or 108° (eyebrows red).
22. Figure 4, measure of ⊥KAM.
Answers: 122° (face, neck, arms brown) or 132° (yellow).
23. Figure 4, measure of arc JK.
Answers: 38° (neck object orange) or 48° (purple).
24. Figure 4, measure of arc JH.
Answers: 32° (shirt stripes black & blue) or 42° (black & white).
25. Figure 5, measure of arc DFB.
Answers: Major arc (ball brown) or Semicircle (ball black & white).
26. Figure 5, arc DE measure.
Answers: Semicircle (goal post brown) or Minor arc (black).
27. Figure 5, arc EDB measure.
Answers: Major arc (background green) or Minor arc (brown).
Since the user only provided choices and coloring instructions for each problem without numeric calculations or direct diagram data, the assistant has listed the problems with answer choices and their corresponding artistic output instructions. Actual angle calculations depend on given diagrams or known formulas.
Slug: "circle arcs"
Subject: "geometry"
Desmos: {"latex":"","features":{"intercepts":true,"extrema":true}}
q_count: 27