SECTORS sector x A sector is basically a slice. The area of a sector is proportional to the size of the angle at the middle, x. Ex1 sector 90 is quarter of a full turn Sector area = 400cm2 4 = 100cm2 Area = 400cm2 For more difficult angles we can cross-multiply as follows. Ex2 sector Angle 360 =
sector area circ 45 360 = sector 56 45 Area circle = 56m2 360 X sector = 45 X 56 sector = 2520 360 sector = 7m2 Ex3 sector 10cm
108 Angle 360 108 360 = = sector area circ sector 314 r = 10 A = r2 360 X sector = 108 X 314 = 3.14 X 10 X 10 sector = 33912 360
360 X sector = 216 X 706.5 A = r2 = 3.14 X 15 X 15 = 706.5 Sector angle = 360 - 144 = 216 sector = 152604 360 sector = 423.9 arc = 424m2 ( 3 sfs) Ex5 18cm 40 A slice of pizza has a radius of 18cm. The angle in the centre is 40. What is its area? *********** r = 18 Angle
= 360 A = r2 40 = = 3.14 X 18 X 18 360 = 1017.36 360 X sector = sector area circ sector 1017.36 40 X 1017.36 sector = 40694.4 360 = 113.04 = 113cm2 Work for this is on pages 41-43, Ex2
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-Adjectives are placed after the nouns they qualify in the Arabic language. The adjectives agrees with the noun it modifies with regards to definiteness and indefiniteness among other things, such as number and gender.
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