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.Com
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 you
Answer 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
RELATED QUESTIONS
In circle O, radius OC is 5cm. Chord AB is 8cm and is perpendicular to OC at point P.... (answered by Alan3354)
AB is a chord of a circle, centre O, with radius 17cm.If AB=16cm, find the distance of O... (answered by ikleyn)
AB is a chord of a circle centre O. The radius of the circle is 50 cm long and the length (answered by dkppathak,Cromlix,Edwin McCravy)
In a circle with centre P,a chord AB is parallel to a tangent & inersects the radius... (answered by robertb)
the chord 'AB' of a circle with centre 'O' and radius 10cm ,is of length 16cm .'OP' has... (answered by stanbon)
In the diagram, Circle O has a diameter of 34, AB= 16, and segment CD is perpendicular to (answered by venugopalramana)
OAB is a sector of a circle, center O, radius 8 cm.
Angle AOB=56º.
M is the midpoint of (answered by mananth)
The chord AB of a circle whose centre is O is 10cm long and AOB = 140 degre. Calculate... (answered by MathLover1)
OAB is a sector of a circle,centre O, radius 8cm.
Angle AOB=56º.
M is the midpoint of... (answered by ikleyn)