Question : The following formula is used to calculate which of the following?
$\frac{\text { Angle of arc at centre }}{360°} \times \pi \times \text{Diameter}$
Option 1: Length of a sector
Option 2: Area of an arc
Option 3: The radius of a circle
Option 4: Length of an arc
Correct Answer: Length of an arc
Solution :
The circumference of a circle = $2\pi r$
So, the length of an arc $=\frac{\text{Angle of arc at centre}(\theta)}{360°}×2\pi r$
$=\frac{\text { Angle of arc at centre }}{360°} \times \pi \times \text{diameter}$
Hence, the correct answer is 'Length of an arc'.
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