Answer the questions based on the following information. A cow is tethered at point A by a rope. Neither the rope nor the cow is allowed to enter ΔABC.
∠BAC = 30°
I(AB) = I(AC) = 10 m
What is the area that can be grazed by the cow if the length of the rope is 8 m?
Solution
Area grazed by cow will be = (circle passing through P and Q) - (Area of circle inside the triangle)
= $$\pi r^2 - \frac{\pi r^2}{12}$$ = $$\frac{176\pi}{3}$$