Mathematics

Mathematics

Problem

A circle with centre OO has radius 4 cm4\,\text{cm}. From an external point PP, two tangents PAPA and PBPB are drawn to the circle such that PA=6 cmPA=6\,\text{cm}. (i) Find the length of PBPB. (ii) Join OAOA and OBOB. Calculate the perimeter of quadrilateral OAPBOAPB. (iii) Determine the area of triangle APBAPB.

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