From an external point

MATHEMATICS · Multi-part · CBSE · Mathematics · Circles · Circles

Problem

P

, two tangents

PA

and

PB

are drawn to a circle with centre

O

and radius

6\,\text{cm}

. The distance

OP

10\,\text{cm}

. (i) Calculate the length of each tangent. (ii) The points

O, A, P

and

B

form a quadrilateral. Find the area of this quadrilateral. (iii) Determine the perimeter of the quadrilateral

OAPB

. (Take

\sqrt{64}=8