11 Circular Measure.pdf - Tutorial 11 Circular Measure 1 In the diagram OAB is a sector of a circle with centre O and radius 8 cm Angle BOA is α

11 Circular Measure.pdf - Tutorial 11 Circular Measure 1 In...

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Tutorial 11 Circular Measure 1. In the diagram, OAB is a sector of a circle with centre O and radius 8 cm. Angle BOA is α radians. OAC is a semicircle with diameter OA . The area of the semicircle OAC is twice the area of the sector OAB . (i) Find α in terms of π. (ii) Find the perimeter of the complete figure in terms of π. 2. The diagram shows a square ABCD of side 10 cm. The mid-point of AD is O and BXC is an arc of a circle with centre O . (i) Show that angle BOC is 0.9273 radians, correct to 4 decimal places. (ii) Find the perimeter of the shaded region. (iii) Find the area of the shaded region.
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