Mathematics

Problem

From an external point

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}

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

O, A, P

and

B

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

OAPB

. (Take

\sqrt{64}=8