# 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
$\dfrac{ 2}{ 12} \pi$
.

Correct result:

l =  5.8
S1 =  31.7
S2 =  1.4

#### Solution:

$l = \dfrac{ 2}{ 12} \pi \cdot 11 = 5.8$
$S_1 = \dfrac{ 2}{ 2 \cdot 12} \pi \cdot 11^2 = 31.7$
$S_2 = \dfrac{ 1}{ 2 } \cdot 11^2 ( \dfrac{ 2}{ 12} \pi - \sin \dfrac{ 2}{ 12} \pi ) = 1.4$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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