Slope = (y2 - y1) / (x2 - x1) = (7 - 3) / (5 - 2) = 4/3.

The ratio of the sides is 6/3 = 2. Therefore, the other sides are 4*2 = 8 cm and 5*2 = 10 cm.

The sum of the angles in a triangle is 180 degrees. Therefore, angle C = 180 - (50 + 60) = 70 degrees.

The area of a circle is given by the formula A = πr². For r = 5, A = π(5)² = 25π.

The length of the diagonal d of a rectangle is given by d = √(length² + width²). Here, d = √(6² + 8²) = √(36 + 64) = √100 = 10 units.