a chord of circle of a radius 6 cm is making an angle 90° at the centre find the length of the chord
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We use pythagoras theorem,
(hypo)² = (height) ² + (side) ².........(1)
Here hypo is the length of the chord(opposite to 90°)
Height and side are the radii of the circle = 6 cm
Substituting the values in equation (1),
(hypo)² = 6² + 6²
Hypo = √36 + 36 = √36(1+1) = 6√2 cm
Hypotenuse = length of the chord = 6√2 cm
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