'G' is centroid of ΔABC if AG = BC then find ∠BGC.

P is a point outside a circle and is 26 cm away from its centre. A secant PAB drawn form P intersects the circle at points A and B such that PB=32 cm and PA=18cm. The radius of the circle (in cm) is:

In ΔABC, AB=c cm, AC= b cm and CB=a cm, If  ∠A=2 ∠B, then which of the following is true?

A circle is inscribed in a equilateral triangle of side 24 cm. What is the area ( in cm²) of a square inscribed in the circle?

In the triangle ABC, AB = 2 cm, BC = 3 cm and AC = 4 cm. D is the middle point of AC. If a square is constructed on the side BC, what is the area of the square?

The radius of a circle is 14 cm. what is area of another circle having radius 1.5 times the actual circle?

The exterior angle of a regular polygon is one-third of its interior angle, the number of sides of the polygon is -

In the given figure, AB‖DC,  ∠BAD=90°,   ∠CBD=28° and ∠BCE=65°, Then ∠ABD=?