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AREA AND CIRCUMFERENCE OF A CIRCLE

AREA AND CIRCUMFERENCE OF A CIRCLE. circumference. The perimeter of a circle is called the circumference ( C ). diameter. radius. The diameter ( d ) of a circle is twice the radius ( r ). Consider dividing a circle into 8 equal sectors:. rearranging the sectors of the circle gives.

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AREA AND CIRCUMFERENCE OF A CIRCLE

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  1. AREA AND CIRCUMFERENCE OF A CIRCLE

  2. circumference The perimeter of a circle is called the circumference (C). diameter radius The diameter (d) of a circle is twice the radius (r).

  3. Consider dividing a circle into 8 equal sectors: rearranging the sectors of the circle gives

  4. Now consider dividing the circle into 12 equal sectors: rearranging the sectors of the circle gives r half circumference The more sectors there are, the closer the area gets to being a rectangle.

  5. Examples 1 Calculate a the circumference bthe area of the circle. a 8 cm b

  6. Examples 2 Calculate a the circumference bthe area of the circle. a 3.7 cm b

  7. Examples 3 The radius of the circle is 5 cm. The circle touches all four sides of the square. Calculate the shaded area. 10 cm

  8. Examples 4 The radius of the large circle is 8 cm. The radius of the small circle is 5 cm. Calculate the shaded area.

  9. Examples 5 The radius of the circle is 3 cm. The vertices of the square lie on the circumference of the circle. Calculate the shaded area. Using Pythagoras 6 cm x x

  10. Examples 6 The area of the circle is 200cm2. Find the value of r. r cm

  11. Semicircles and quadrants A semicircle is half a circle. A quadrant is quarter of a circle.

  12. Examples 1 Calculate a the perimeter bthe area of the semicircle. a 10 cm b

  13. Examples 2 Calculate a the perimeter bthe area of the quadrant. a b 9 cm

  14. Examples 3 The perimeter of the quadrant is 50 cm. Calculate the value of r. r cm

  15. Examples 4 The diagram shows four identical circles of radius 4 cm. Calculate the shaded area.

  16. Arcs and sectors arc An arc is part of the circumference of a circle. sector A sector of a circle is a region bounded by an arc and two radii.

  17. Examples 1 Find a the area of sector OAB bthe length of arc AB cthe perimeter of sector OAB. a A B b O c

  18. Examples 2 Find a the area bthe perimeter of the shape. a 126° 7 m 3 m b

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