Mental Maths Class 8 Geometry

Asked by Anurag Patra · ST. MICHAEL'S SCHOOL, DURGAPUR

In a circle with center O, AB is a diameter. Let C be a point on the circumference such that \angle ABC = 30^\circ. A tangent is drawn to the circle at point C, which intersects the extended diameter AB at point P. If the radius of the circle is r, what is the area of triangle BCP?

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