a. Two regular polygons P and Q are such that the number of sides of P is twice the number of sides of Q. The difference between the exterior angle of P and Q is 45°.find the number of sides of p.

b. The area of a semi-circle is 32π \(cm^2\). Find, in terms of π, the circumference of the semi-circle.

a. In the diagram above P, Q, R, and S are points on the circle with centre O.
QR // OS , ∠QOR = 2m, ∠QPR = n and ∠SOR = 54°. Find the values of m and n.

b. The length of a rectangle is 4 cm more than the width. If the perimeter is 40 cm, find the area.

a. In the diagram above, the radius of the sector of circle centre O is 7 cm and ∠MON is 60°. Find, correct to one decimal place, the area of the shaded portion. (take \(\pi = \frac{22}{7})\)

b. The x and y intercepts of a straight line are \(\frac{-3}{4} and \frac{2}{7}\) respectively. Find the equation of the line.

In the diagram above, O is the centre of the circle. Reflex angle XOY = 210º and the length of the minor arc is 5.5m. Find, correct to the nearest metre the length of major arc.

Multiply 3.4 x 10\(^{-5}\) by 7.1 x 10\(^8\) and leave the answer in standard form.