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CAT 1997 | Question: 126

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AB is the diameter of the given circle, while points C and D lie on the circumference as shown. If AB is $15$ cm, AC is $12$ cm and BD is $9$ cm, find the area of the quadrilateral ACBD.

  1. $54 \pi$
  2. $216\pi$
  3. $162\pi$
  4. None of these

1 Answer

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Angle C and D will be right angles

BC will be 9 cm (Applying Pythagoras theorem)

AD will be 12 cm (Applying Pythagoras theorem)

Area of the quadrilateral = Area of triangle ABC + Area of triangle ABD

= 54 + 54 = 108 cm square
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