# Year 11 Mini-Assessment 17 HIGHER Circles Non-Calculator Area

Year 11 Mini-Assessment 17 HIGHER Circles Non-Calculator Area of trapezium = (20 + 12)(10) = 160cm2 Area of semi-circle = x x 32= 4.5 cm2 Shaded area = 160 4.5 4.5= (160 9) cm2 -1 mark if no or incorrect units with final answer

Angle BAC = 22 Angles in same segment are equal Angle ABC = 90 Angle in a semi-circle is 90 Angle ACD = 58 Angles in same segment are equal either Angle ACB = 68 Internal angles of a triangle add

to 180 all correct descriptions CDF = 44 (Alternate segment theorem) 272 88 44 ABC and ADC opposite angles in a cyclic quadrilateral so add to 180

ABC = x = 180 78 = 102 CDO = 46 ADC = 78 COD = 88 (Angle at centre double angle at circumference) y = 12 y = 360 44 32 272 COD (reflex) = 272

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