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# Circles g7

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### Circles g7

1. 1. Circles <br />
2. 2. What is the circle?<br />The set of all points those are equidistant from a fixed point is called a circle.<br />The fixed is called center of the circle.<br />The line segment between two points on the circle which is passing through the center is called the diameter.<br />The line segment between any point on the circle and the center is called the radius (plural radii).<br />
3. 3. circle<br />radius<br />diameter<br />The fixed point<br />(center)<br />
4. 4.
5. 5. Circumference:<br />The circumference is the length of the outer boundary of a circle.<br />circumference<br />
6. 6. Finding the circumference<br />The circumference of a circle is given by the formula C = πD, where C is the circumference and D is the diameter of a circle.<br />Notice that D = 2xRadius = 2r<br />π : an irrational number which is approximately equal to 3.14.<br />
7. 7. Example:<br />Find the circumference of each of the following circles.<br />
8. 8. Find the circumference of each of these circles.<br />
9. 9. Find the perimeter of each of the shapes below. (Remember to add the lengths of the straight sections.)<br />
10. 10. A scooter tire has a diameter of 32 cm. What is the perimeter of the tire?<br />Find the circumference of the Ferris wheel shown below.<br />
11. 11.
12. 12. Area of a circle<br />If the circle is divided into smaller sectors, the curved sides of the sectors become straighter and, hence, the shape is closer to a perfect rectangle.<br />
13. 13. Finding the area of a circle<br />The area of a circle, A, can be found using the formula A = π r2 , where π is a constant with a value of approximately 3.14 and r is the radius of the circle.<br />
14. 14. Example:<br />Find the area of each of the following circles.<br />
15. 15. Find the area of each of these circles.<br />
16. 16. Find the area of each of the shapes below. <br />
17. 17. Definition: An annulus (plural annuli) is the shape formed between two circles with a common center (called concentric circles).<br />
18. 18. Find the area of the annulus for the following sets of concentric circles.<br />
19. 19. Find the area of the following shapes:<br />