Corresponding 59063

Calculate the radius and area of the circular segment if the center angle = 106° and the length of the corresponding circular arc is l = 52 cm.

Correct answer:

r =  28.1074 cm
S =  730.7915 cm2

Step-by-step explanation:

α=106  l=52 cm  k=360α=360106=180530.2944  o = 2 π r l = k   2π   r  r=2π kl=2 3.1416 0.29445228.1074 cm   Verifying Solution:  o=2π r=2 3.1416 28.1074=539360176.6038 cm
S1=π r2=3.1416 28.107422481.9332 cm2  S=k S1=0.2944 2481.9332=730.7915 cm2

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