Prove that an angle inscribed in a semi-circle is a right angle using vector method.

Using vectors, prove that angle in a semicircle is a right angle.

Prove that : the rhombus , inscribed in a circle is a square.

Prove that the angle in a segment greater than a semi-circle is less than a right angle.

Prove that the angle in a segment greater than a semi-circle is less than a right angle.

Prove that the angle in a segment greater than a semi-circle is less than a right angle.

Using vector method, prove that the angel in a semi circle is a right angle.

A rectangle is inscribed in a semi-circle of radius r with one of its sides on diameter of semi-circle. Find the dimensions of the rectangle so that its area is maximum. Find also the area.

A rectangle is inscribed in a semi-circle of radius r with one of its sides on diameter of semi-circle. Find the dimensions of the rectangle so that its area is maximum. Find also the area.

Rectangles are inscribed inside a semi-circle of radius rdot Find the rectangle with maximum area.

Prove that angle in the same segment of a circle are equal.