2026 NASS P1 Q11

2026 NASS P1 Q11

Secondary 4
3 marks

\(OABC\) is a quadrilateral where \(AB\) and \(BC\) are tangents to a circle with centre \(O\) and radius of 6 cm.

  1. Explain why angle \(OAB\) is \(90^\circ\).[1]
  2. Calculate the shaded area.[2]

Solution:

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Answer:(a) Radius perpendicular to tangent. (b) \(26.4\text{ cm}^2\) using the supplied labels; see the source-data inconsistency noted in the solution.

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