Mathematics · May / June 2023 · Paper 22 · Question 11
0580
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B C O D A 2.6 cm 3.2 cm NOT TO SCALE The diagram shows a shape, ABCD, formed by the sectors of two circles with the same centre O. Both sector angles are 140°, . cm OC 3 2 = and . cm CB 2 6 = . The area of the shape is 2 rcm k . Find the value of k. k = [3]
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9.1 [3]
M2 for 140 []( ) 140 [] 360 × π × + 2 360 × π × 3.2 2.6 – 3.2 2 oe 140 [] 360 × π ×
or M1 for 3.2 2 oe 140 []( ) 360 × π × + 2 or 3.2 2.6 oe or []( ) 2 – [] π × + π × 2 3.2 2.6 3.2
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