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Sectors of Circles - Length and Area

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- 1. Pie charts are divided up intofractions of the full circle. In Maths, each division is called a “Sector”.
- 2. “Clover Leaf” interchanges onFreeways contain four “sectors”,eg. they are not quite full circles.
- 3. Computer hard drives store informationin areas called “sectors” that are a littledifferent to the “sectors” we are doing.
- 4. Sectors can be shaped like pieces of Pie (minor sectors), or Pacman shape (Major sectors). Quarter and Half Circles are also “Sectors”.
- 5. Cutting up a Pizza creates fractions of a circle called “Sectors”.
- 6. L = Length of Arc around Pizza Edge L 360 o 60 o R = 10 cm All the way around a Circle is the “Circumference” of C = Ԉ R x 2 where Ԉ 3.1416 x =We only have 60 o out ofthe full 360 o of the circle. L = 60 / 360 of a full circleThis fraction is 60 / 360 L = 60/360 x ( Ԉ R x 2 ) x L = 0.1667 x ( 3.1416 x 10 x 2 )This small piece of pizza part of the circle is called a “Minor Sector”. L = 10.5 cm
- 7. L = Length of Arc around Pizza 360 o 300 o All the way around a Circle is the “Circumference” of R = 10 cm C = Ԉ R x 2 where Ԉ 3.1416 x =We only have 300 o out of L = 300 / 360 of a full circlethe full 360 o of the circle. L = 300/360 x ( Ԉ R x 2 ) xThis fraction is 300 / 360 L = 0.8333 x ( 3.1416 x 10 x 2 ) The large remaining part of thiscircle is called a “MAJOR Sector”. L = 52.4 cm
- 8. A = Area of one piece of Pizza 360 o 60 o R = 10 cm The full AREA inside a Circle is given by the formula: A = Ԉ R2 where Ԉ 3.1416 x =We only have 60 o out ofthe full 360 o of the circle. A = 60 / 360 of a full circleThis fraction is 60 / 360 A = 60/360 x ( Ԉ R x R ) x A = 0.1667 x ( 3.1416 x 10 x 10 )This small piece of pizza part of the circle is called a “Minor Sector”. A = 52.3 cm2
- 9. A = Area of Remaining Pizza 360 o 300 o The full AREA inside a Circle is given by the formula: R = 10 cm A = Ԉ R2 where Ԉ 3.1416 x =We only have 300 o out of We have 300 / 360 of the full circlethe full 360 o of the circle. A = 300/360 x ( Ԉ R2 ) xThis fraction is 300 / 360 A = 0.8333 x ( 3.1416 x 10 x 10 ) The large remaining part of thecircle is called a “MAJOR Sector”. A = 262 cm2
- 10. http://passyworldofmathematics.com/All slides are exclusive Copyright of Passy’s World of Mathematics Visit our site for Free Mathematics PowerPoints

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