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2.
OPD is a right angle triangle.
By Pythagoras theorem,
(OD) ² = (OP)² + (PD)²
(25)² = (OP)² + (14)²
(OP)² = 625 - 196
(OP)² = 429
OP = 20.71 cm
3.
Construction: Join OA.
Let a segment from center intersects AB at P.
By Pythagoras theorem,
(OA)² = (AP)² + (OP)²
(OA)² = (12)² + (9)²
(OA)² = 144 + 81
(OA)² = 225
OA = 15 cm
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