Circle's 81078

The chord of a circle is 233 long, and the length of the circular arc above the chord is 235. What is the circle's radius, and what is the central angle of the circular arc?

Correct answer:

r =  519.3083
Φ =  25.9278 °

Step-by-step explanation:

t=233 o=235  o = α   r sin α/2 = t/2 : r  r   sin α/2 = t/2 o/α   sin α/2 = t/2  2 o   sin α/2 = α t  2 235   sin α/2 = α 233 α=0.4525250.4525 rad  r=o/α=235/0.4525=519.3083
Φ=α  °=α π180   °=0.4525 π180   °=25.92777  °   Verifying Solution:  t2=2 r sin(α/2)=2 519.3083 sin(0.4525/2)233 o2=α r=0.4525 519.3083=235

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