# SOLUTION: AB is a chord of a circle with centre O and is 40cm long. OD is drawn perpendicular to AB. If OD is 4.5cm in length, find the length of the radius of the circle. (all reasoning mus

Algebra ->  Algebra  -> Circles -> SOLUTION: AB is a chord of a circle with centre O and is 40cm long. OD is drawn perpendicular to AB. If OD is 4.5cm in length, find the length of the radius of the circle. (all reasoning mus      Log On

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 Geometry: Circles and their properties Solvers Lessons Answers archive Quiz In Depth

 Question 12586: AB is a chord of a circle with centre O and is 40cm long. OD is drawn perpendicular to AB. If OD is 4.5cm in length, find the length of the radius of the circle. (all reasoning must be shown). thank youAnswer by kusha(21)   (Show Source): You can put this solution on YOUR website!There is a theorm that a perpendicular to a chord from the centre of circle would bisect the chord. so the length of line segment AD is 20 cm and OD is 4.5 cm. Therefore using pythagoras theorm on triangle ADO we get AOxAO = ODxOD + ADxAD therefore AO = Sq Rt(420.25) = the radius of circle