The interior angle of a regular polygon is five times the size of its exterior angle. Identify the polygon.

The area A of a circle is increasing at a constant rate of 1.5 cm\(^2s^{-1}\). Find, to 3 significant figures, the rate at which the radius r of the circle is increasing when the area of the circle is 2 cm\(^2\).

Make x the subject of the formula: y = \(\frac {3x - 9c}{4x + 5d}\)

Solve for x: 3(x – 1) ≤ 2 (x – 3)

The diagram above is a circle with centre C. P, Q and S are points on the circumference. PS and SR are tangents to the circle. ∠PSR = 36\(^o\). Find ∠PQR