Question

A chord of circle of radius 6cm is making and angle 60 at the centre . Find the length of the chord

Answer 1

Radius of circle=6cm
angle made by chord at center=60°
firstly you make a circle and do as given.
let centre of cirle be O and chord be AB.
draw OD perpendicular to AB.
then
join OA and OB.
angleAOD=angleBOD=30°
then in triangleAOD,
SIN30°=AD/OA
1/2=AD/6
AD=3cm
hence,length of chord
is 6cm

Answer 2

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