Question 116
From a point P which is at a distance of 10 cm from the centre O of a circle of radius 6 cm, a pair of tangents PQ and PR to the circle at point Q and respectively, are drawn. Then the area of the quadrilateral PQOR is equal to
Solution
From the given question we draw the diagramÂ
From the $$ \triangle $$
   $$ x^2 = (10)^2 - (6)^2 $$
  $$ x^2 = 100 - 36 $$
 $$ x^2 = 64$$
 $$ x = 8 $$
then area quadrilateral PQOR =$$ 2 \times \frac {1}{2} \times 6 \times 8 $$
                       = $$ 6\times 8 $$
                       =  $$48 cm^2 $$ AnsÂ
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