Question

The arc of a circle of radius 30 cm having length 19cm find the angle subtended bythis arc at the center of the circle? please solve it ​

Answer 1

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• The radius of the circle, r = 30 cm
• The length of the arc of the circle, I = 19 cm

The formula for the arc length of a circle is given by,

$\sf1 = 2πTr [ \frac{0}{360°}]$

[Here 0 = angle subtended at the centre O by the arc]

Now, substituting the given values in the above formula, we get

$\sf192 \times \frac{22}{7} \times 30 [ \frac{\theta}{360 \degree} ] \\ \\ \sf \dashrightarrow \: 19 = 188.57 \times [ \frac{\theta}{360°} ] \\ \\ \sf \dashrightarrow \theta= \frac{[360 \times 19]}{[188.57]} \\ \\ \sf \dashrightarrow \theta = 36.27°$