The perpendicular bisector of a chord xy cuts xy at n and the circle at p. given that xy = 16 cm and np 2 cm, calculate the radius of the circle.

17 cm

Step-by-step explanation:

In the above figure the question has been explained

the perpendicular from circle on the chord divides chord into two halves

let r be radius of circle in triangle NOY

NO= PO-PN = r-2 and YO=r(radius) YN=8cm

applying pythagorus theorem

after rearranging and solving the equation we get

r=17 cm

therefore the radius of the triangle is  17 cm

note: on observing we find that the sides of triangle are pythagorian triplet 17, 15 and 8

351.23

step-by-step explanation: