A circle has a circumference of 12.It has an arc length 11. What is the central angle of the arc,in degrees?

asked Jul 24, 2021 156k views

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1 vote

Answer:
$330^(\circ)$

Explanation:

Given

Circumference of circle
$C=12\ units$

Arc length
$l=11\ units$

we know arc length is given by

$l=(\theta )/(360^(\circ))* 2\pi r$

substituting value we get

$11=(\theta )/(360)* 12$

$(11)/(12)=(\theta )/(360)$

$\therefore \ \theta =330^(\circ)$

StasKolodyuk answered Jul 30, 2021

3.2k points

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