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Question

In a circle diameter, $$40\ cm$$, the length of a chord is $$20\ cm$$. Find the length of minor arc of the chord.


Solution

Diameter$$=40$$
Radius$$=20$$
Length of chord$$=20$$
It is an equilateral triangle
$$\theta =60°$$
Length of minor arc$$=r\theta $$
$$=20\times \cfrac { \pi  }{ 6 } $$
$$=\cfrac { 10\pi  }{ 3 } $$

1127909_1039951_ans_c83cbf76b2c2455ba8c82784eeadc316.png

Mathematics

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