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 33 and corresponding angle is
414π\dfrac{ 4}{ 14} \pi
.

Result

l =  29.6
S1 =  488.7
S2 =  63

Solution:

l=414π⋅33=29.6l = \dfrac{ 4}{ 14} \pi \cdot 33 = 29.6
S1=42⋅14π⋅332=488.7S_1 = \dfrac{ 4}{ 2 \cdot 14} \pi \cdot 33^2 = 488.7
S2=12⋅332(414π−sin⁡414π)=63S_2 = \dfrac{ 1}{ 2 } \cdot 33^2 ( \dfrac{ 4}{ 14} \pi - \sin \dfrac{ 4}{ 14} \pi ) = 63

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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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