SOLUTION: If AB is a chord and P is a point on AB such that AP=8 cm, PB=5 and P is 3 cm from the centre of the circle, find the radius. how do i solve this problem? I think i need to us

Algebra ->  Geometry-proofs -> SOLUTION: If AB is a chord and P is a point on AB such that AP=8 cm, PB=5 and P is 3 cm from the centre of the circle, find the radius. how do i solve this problem? I think i need to us      Log On


   



Question 1031419: If AB is a chord and P is a point on AB such that AP=8 cm, PB=5 and P is 3 cm from the centre of the circle, find the radius.
how do i solve this problem?
I think i need to use the chord theorem but i have no clue

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!


OMP is a right triangle
OP^2 + OM^2 + MP^2
3^2= (2.5)^2+OM^2
OM^2 = 3^2-2.5^2
OM = 1.66
OB = sqrt( OM^2+MB^2)
= sqrt( 1.66^2+7.6^2)
= 7.78 cm the radius