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Areas Related to Circles Class 10 PPT
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Page 1 Class 10 Areas Related to Circles Page 2 Class 10 Areas Related to Circles What is a sector? What is a segment? What is an arc? How to calculate their areas and lengths. Example problems. What Will We Learn Today? Page 3 Class 10 Areas Related to Circles What is a sector? What is a segment? What is an arc? How to calculate their areas and lengths. Example problems. What Will We Learn Today? A sector is the part of a circle enclosed by two radii and the arc between them. What is a Sector? Minor Sector: Smaller part of the circle. Major Sector: Larger part of the circle. Types: Page 4 Class 10 Areas Related to Circles What is a sector? What is a segment? What is an arc? How to calculate their areas and lengths. Example problems. What Will We Learn Today? A sector is the part of a circle enclosed by two radii and the arc between them. What is a Sector? Minor Sector: Smaller part of the circle. Major Sector: Larger part of the circle. Types: How to Find the Area of a Sector You know that area of a circle of radius r is pr ². Imagine the circular region formed by the circle as a sector of angle 360°(Because angle at the centre is a complete angle). With this assumption, we can calculate the area of the sector OAPB as follows: Area of a sector of angle 360° = pr ² So, area of a sector of angle 1°= Hence, area of a sector of angle = = O A P B Page 5 Class 10 Areas Related to Circles What is a sector? What is a segment? What is an arc? How to calculate their areas and lengths. Example problems. What Will We Learn Today? A sector is the part of a circle enclosed by two radii and the arc between them. What is a Sector? Minor Sector: Smaller part of the circle. Major Sector: Larger part of the circle. Types: How to Find the Area of a Sector You know that area of a circle of radius r is pr ². Imagine the circular region formed by the circle as a sector of angle 360°(Because angle at the centre is a complete angle). With this assumption, we can calculate the area of the sector OAPB as follows: Area of a sector of angle 360° = pr ² So, area of a sector of angle 1°= Hence, area of a sector of angle = = O A P B E x a m p l e :Read More
FAQs on Areas Related to Circles Class 10 PPT
| 1. What is the formula to find the circumference of a circle? |  |
Ans. The formula to find the circumference of a circle is C = 2πr, where "C" represents the circumference and "r" represents the radius of the circle.
| 2. How can we find the area of a sector of a circle? | |
Ans. To find the area of a sector of a circle, we can use the formula A = (θ/360)πr^2, where "A" represents the area, "θ" represents the central angle of the sector in degrees, and "r" represents the radius of the circle.
| 3. What is the relationship between the diameter and the radius of a circle? | |
Ans. The diameter of a circle is twice the length of its radius. In other words, the diameter is equal to 2 times the radius.
| 4. How can we find the length of an arc of a circle? | |
Ans. To find the length of an arc of a circle, we can use the formula L = (θ/360)2πr, where "L" represents the length, "θ" represents the central angle of the arc in degrees, and "r" represents the radius of the circle.
| 5. What is the relationship between the circumference and the diameter of a circle? | |
Ans. The circumference of a circle is equal to π times the diameter of the circle. In other words, the circumference is equal to πd, where "d" represents the diameter.
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