The angle subtended at the centre by a chord of a circle radius 6cm is 120°. Find the length of the chord.
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Answer:
E. 63–√ cm
Step-by-step explanation:
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2 x r x Sin ( theta /2)
= 12 x Sin (60/2)
= 12 x Sin 30
= 12 x 1/2
= 6cm
Or
Since the angle subtended = 60
And, 2 sides are equal ( radius),
Other 2 angles = equal
Total of angle = 180
So, other 2 angles = 60
So it’s equilateral triangle.
So 3rd side ( chord) = other 2 sides( radii) = 6 cm
= 12 x Sin (60/2)
= 12 x Sin 30
= 12 x 1/2
= 6cm
Or
Since the angle subtended = 60
And, 2 sides are equal ( radius),
Other 2 angles = equal
Total of angle = 180
So, other 2 angles = 60
So it’s equilateral triangle.
So 3rd side ( chord) = other 2 sides( radii) = 6 cm
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