Circular segment

Calculate the area S of the circular segment and the length of the circular arc l. The height of the circular segment is 2 cm and the angle α = 60°.

Help formula: S = 1/2 r2. (Β-sinβ)

Correct result:

S =  20.1872 cm2
l =  15.6328 cm

Solution:

v=2 A=60 c=cos(A/2)=cos(60/2)0.866 cosA/2=(rv)/r r cosA/2=rv r=v/(1c)=2/(10.866)14.9282 B=A rad=A π180 =60 3.1415926180 =1.0472=π/3 S=1/2 r2 (Bsin(B))=1/2 14.92822 (1.0472sin(1.0472))=20.1872 cm2
l=A/360 2π r=60/360 2 3.1416 14.9282=15.6328 cm



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