Shaded Area in a Trapezium with a Semicircle

Shaded Area in a Trapezium with a Semicircle

Secondary 1

The figure below shows a trapezium \(PQST\).

\(PT\) is the diameter of a circle with centre \(O\).

\(PT=14\) cm, \(QA=BS=2\) cm.

Find the area of the shaded region. Take \(\pi =\frac{22}{7}\).

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Answer:\(35\text{ cm}^2\)

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