Circles & Sectors: WJEC GCSE Higher June 2018 Unit 2 Q14

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Higher June 2018 Unit 2 Q14

WJECHigherCurrent spec2 marksCircles & Sectors

14. A and B are points on a circle with centre O.
Calculate the length of the arc AB shown below. [2]

Diagram not drawn to scale

Mark scheme

Scheme	Marks	Comments
AB = (191/360) × 2 × \(\pi\) × 3.1	M1	Sight of correct work to calculate major arc AB.
=10.3(…cm)	A1	Accept an answer in the range 10.2(cm) to 10.4(cm). Allow in terms of \(\pi\), e.g. \(\dfrac{5921}{1800}\pi\). Mark final answer. SC1 for 9.1(cm) to 9.2(cm), the minor arc AB. Must be convincing from 169/360 × 2 × π × 3.1.