5. CIRCLE.pptx MATHEMATICS 10 QUARTER 2 LESSON
- 2. • Identify the parts of a circle. • Relate the measures of an arc and its corresponding angle. OBJECTIVES:
- 3. A circle is the set of all points in a plane that are equidistant from a fixed point called the center.
- 4. RADIUS It is a segment whose endpoints are the center of the circle and a point on the circle.
- 6. CENTRAL ANGLE It is an angle formed by any two distinct radii of a circle.
- 8. ARC It is a portion of a circle that consists of two endpoints and all the points on the circle between these two endpoints.
- 9. ARC A B C D
- 10. SEMICIRCLE A B C D It is an arc whose endpoints are the endpoints of a diameter. ^ 𝐷𝐵𝑜𝑟^ 𝐵𝐷 ^ 𝐷𝐶𝐵𝑜𝑟^ 𝐵𝐶𝐷
- 11. MINOR ARC A B C D It is an arc which is less than the semicircle. ^ 𝐷𝐶𝑜𝑟^ 𝐶𝐷 ^ 𝐶𝐵𝑜𝑟^ 𝐵𝐶
- 12. MAJOR ARC A B C D It is an arc which is more than the semicircle. ^ 𝐷𝐵𝐶𝑜𝑟^ 𝐶𝐵𝐷 ^ 𝐶𝐷𝐵𝑜𝑟^ 𝐵𝐷𝐶
- 13. SEMICIRCLE A B C D It is an arc whose endpoints are the endpoints of a diameter. ^ 𝐷𝐵𝑜𝑟 ^ 𝐵𝐷 ^ 𝐷𝐶𝐵𝑜𝑟^ 𝐵𝐶𝐷 The degree measure of a semicircle is 180°.
- 14. MINOR ARC A B C D It is an arc which is less than the semicircle. ^ 𝐷𝐶𝑜𝑟 ^ 𝐶𝐷 ^ 𝐶𝐵𝑜𝑟 ^ 𝐵𝐶 The degree measure of a minor arc is the same as the degree measure of its corresponding central angle.
- 15. MAJOR ARC A B C D It is an arc which is more than the semicircle. ^ 𝐷𝐵𝐶𝑜𝑟^ 𝐶𝐵𝐷 ^ 𝐶𝐷𝐵𝑜𝑟^ 𝐵𝐷𝐶 The degree measure of a major arc is 360° minus the degree measure of its corresponding minor arc.
- 16. ACTIVITY A B O D A. In the figure at the right, point O is the center of the circle with as the diameter. Name the following: 1. Radius 𝑂𝐵 𝑂𝐷 𝑂𝐴
- 19. ACTIVITY A B O D 4. Minor Arc ^ 𝐵𝐷𝑜𝑟 ^ 𝐷𝐵 ^ 𝐴𝐷𝑜𝑟^ 𝐷𝐴
- 21. ACTIVITY S A R T B. In and are diameters. Determine whether each arc is a minor arc, a major arc, or a semicircle. K E
- 23. ACTIVITY S A R T 6. K E 7. 8. 9. 10. 11. 12. S 13. 14. 15. Semicircle Major Arc Minor Arc Major Arc Semicircle Minor Arc Semicircle Major Arc Minor Arc Minor Arc
- 24. ACTIVITY E A S T C. In and are diameters and . Find each measure. M
- 25. E A S T C. In and are diameters and . Find each measure. M 1. 2. 3. 4. 5. 6.
- 26. S Q O R D. Using the figure: P + 13 Find: 1. 2.
- 27. Written Work S C V L A. In and are diameters. If and . Find: O 1. 2. 3. 4. 5. 6. 7. 8. 9. A
- 28. S Q O R B. Using the figure: P + 13 Find: 10. 14. 11. 15. 12. 13.
- 29. Written Work S C V L A. In and are diameters. If and . Find: O 1. 2. 3. 4. 5. 6. 7. 8. 9. A 40° 90° 40° 40° 90° 90° 40° 40° 50° 50° 50° 50° 140° 140° 140° 140° 180° 130°
- 30. S Q O R B. Using the figure: P + 13 Find: 10. 14. 11. 15. 12. 13.