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APMOPS 2014 Question 6

APMOPS · APMOPS 2014

Question 6

As shown in the diagram, $\triangle ABC$ is an isosceles right-angle triangle with $AB=28$ cm. $BC$ is the diameter of the semi-circle and point $D$ is the midpoint of arc $BC$. Find the area of the shaded region in cm$^2$. (Take $\pi$ to be $\frac{22}{7}$.)

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