2026 PHS P1 Q25

2026 PHS P1 Q25

Secondary 4
6 marks

The diagram shows a quadrant \(AOB\) of a circle with centre \(O\) and radius 5 cm.

\(AC\) is parallel to \(OB\) and angle \(AOB=90^\circ\).

\(BC\) is an arc of another circle with centre \(A\).

  1. Find the length of arc \(BC\).[3]
  2. Find the shaded area.[3]

Solution:

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Answer:(a) \(5.55\text{ cm}\) (b) \(12.5\text{ cm}^2\)

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