in a circle of diameter 40cm the length of minor arc of cord?
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Diameter of the circle =40 cm
∴ Radius (r) of the circle =40/2=20 cm
Let AB be a chord (length = 20 cm) of the circle.
In △OAB, OA = OB = Radius of circle = 20 cm
Also, AB = 20 cm
Thus, △OAB is an equilateral triangle.
∴θ=60∘=π/3πradian
We know that in a circle of radius r unit, if an arc of length I unit subtends an angle θ radian at the centre, then θ=l/r
∴π/3=arc AB/20⟹arc AB=20/3π cm
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