Ashtyn Duncan

2023-02-28

What is the length of an arc which subtends angle θ (degrees) at the centre in a circle of radius r?
$A.\left(\pi r\theta \right)/180\phantom{\rule{0ex}{0ex}}B.\left(\pi r\theta \right)/360\phantom{\rule{0ex}{0ex}}C.\left(\pi r\theta \right)/60\phantom{\rule{0ex}{0ex}}D.\left(\pi r\theta \right)/90$

unieventos8l9

For a slant of ${360}^{\circ }$ subtended at the centre, the arc length is nothing but the circumference of circle that is 2πr where r is circle radius. For a slant of θ, the arc length will be $\frac{\theta }{360}×2\pi r=\frac{\theta }{180}×\pi r$.

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