O-LevelMathematicsMensuration4024/22 · May/June 2017 · Q1212 Marks
OAB is a sector of a circle, centre O, and radius 10 cm. AÔB = 72° and C is the point on the arc AB such that OC bisects AÓB. [Figure of sector OAB]
- (a)Calculate the perimeter of sector OAB.[3]
- (b)(i)Calculate the area of sector OAB.[2]
- (b)(ii)Calculate the total shaded area.[3]
- (c)D is the point on the arc AB such that AÔD : DÔB = 1:2. Gavin says that the shaded area on this diagram is the same as the shaded area calculated in part (b)(ii). Is he correct? Show your working. [Figure of sector OAB with point D][4]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
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