# 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:

$l = \dfrac{ 2}{ 12} \pi \cdot 11 = 5.8$
$S_1 = \dfrac{ 2}{ 2 \cdot 12} \pi \cdot 11^2 = 31.7$
$S_2 = \dfrac{ 1}{ 2 } \cdot 11^2 ( \dfrac{ 2}{ 12} \pi - \sin \dfrac{ 2}{ 12} \pi ) = 1.4$ We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you! Tips to related online calculators
Most natural application of trigonometry and trigonometric functions is a calculation of the triangles. Common and less common calculations of different types of triangles offers our triangle calculator. Word trigonometry comes from Greek and literally means triangle calculation.

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