Subtended 83194

A circle k with a center at point S and a radius of 6 cm is given. Calculate the size of the central angle subtended by a chord 10 cm long.

Correct answer:

α =  112.8854 °

Step-by-step explanation:

r=6 cm t=10 cm  sin α/2 = t/2 : r  s=2 rt=2 610=650.8333  A=arcsins=arcsin0.83330.9851 rad A2=2 A=2 0.98511.9702 rad  α=A2  °=A2 π180   °=1.9702 π180   °=112.885  °=112.8854=112°537"

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