How do you find the length of an arc of a circle with radius 45 cm if the arc subtends a central angle of 20°?

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Answer 1 · 2015-08-01T15:52:07

$color(blue)(lapprox35.33cm$

The formula for the length of an arc of a circle is:
$l=color(blue)(theta/360^o(2pir)$

Where:
$color(blue)(theta$ is the angle subtended at the centre.
$color(blue)(2pir$ is the circumference of the circle.

the circumference $2pir=(2 )* (3.14)*(45) = 282.6cm$

So, length of arc
$l=theta/(360^o) * (2pir)$

$l=45/(360^o) * (282.6)$

$l= (282.6)/8$

$color(blue)(lapprox35.33cm$