How do you find the length of arc subtended by a central angle of 30 degrees in a circle of radius 10 cm?

Question

104218 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-08-01T15:56:23

$color(blue)(lapprox5.23cm$

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 $2pir=(2 )* (3.14)*(10) = 62.8cm$

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

$l=30/(360^o) * (62.8)$

$l= (62.8)/12$

$color(blue)(lapprox5.23cm$