Question

The perpendicular disector of a chord xy, cut xy at n and the circle at P. If xy = 16cm and NP = 2cm calculate the radius of the circle​

Answer 1

Answer:

17

Step-by-step explanation:

If the centre of the circle is  O , then  △OXN  is a right triangle. We also know that,

XN=16/2=8  

ON=r−2  ( r  is the radius of the circle)

OX=r  

XN2+ON2=OX2  

82+(r−2)2=r2  

Solving the above equation will give us

4r=68  

r=17