A circle with centre O touches all the four sides of a Quadrilateral. ABCD internally in such a way that it divides AB in 3:1 and AB =12cm then find the radius of circle where OA =15 cm
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Answer:
Radius = 12 cm
Step-by-step explanation:
A circle with centre O touches all the four sides of a Quadrilateral. ABCD internally in such a way that it divides AB in 3:1 and AB =12cm then find the radius of circle where OA =15 cm
OA = 15 cm
Ley say Circle touches AB at P
AB is divided by P in 3:1
AP = (3/(3+1)) * AB = 3AB/4 = 3 * 12/4 = 9 cm
OA² = OP² + AP²
=> 15² = OP² + 9²
=> 225 = OP² + 81
=> OP² = 144
=> OP = 12cm
Radius = 12 cm
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