Question

A cord of a circle of radius 6cm is making an angle 60° at the center .find the length of the chord

Answer 1

since chord makes 60° at centre. And two side other than chord are radius(equal) so the triangle is equilateral triangle.So, length of chord is 6cm.
PLZ MARK IT AS BRAINLIEST.

Answer 2

AO= OR ( radii)
As AO = OR .. angle OAR = angle ORA ..

consider triangle AOR ..
THE Sum OF ANGLES MUST BE 180°

SO.. 60° + angle OAR + angle ORA = 180°

2 angle OAR = 120 ( AS angle ORA = angle OAR)

therefore ... angle OAR = angle ORA = 60...

which implies triangle AOR is an equilateral triangle......

so AO=OR= AR

therefore the length of chord = radius of the circle
..


SO ... LENGTH OF CHORD = 6cm