Distance of a chord OP from the centre of a circle is 6 cm. If diameter of this circle is 20 cm, then what will be the sum of radius and length of chord OP?
Answer & explanation
Correct answer: option 3
We have,
Diameter = 20
Radius = OA = 10
We know that,
AO2 = AP2 + OP2
102 = AP2 + 62
AP2 = 100 - 36
AP2 = 64
AP = 8
AB = 2 × AP
AB = 16
AB + AO = 16 + 10 = 26 cm