# Arc and segment

Calculate the length of circular arc l, area of the circular arc S1 and area of circular segment S2. Radius of the circle is 11 and corresponding angle is
$\frac{2}{12}\pi$
.

Correct result:

l =  5.8
S1 =  31.7
S2 =  1.4

#### Solution:

$l=\frac{2}{12}\pi \cdot 11=5.8$
${S}_{1}=\frac{2}{2\cdot 12}\pi \cdot 1{1}^{2}=31.7$
${S}_{2}=\frac{1}{2}\cdot 1{1}^{2}\left(\frac{2}{12}\pi -\mathrm{sin}\frac{2}{12}\pi \right)=1.4$

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