a. In the diagram above, PQR is an equilateral triangle of side 18 cm. M is the midpoint of QR. An arc of a circle with center P touches QR at M and meets PQ at A and PR at B. Calculate, correct to two decimal places, the area of the shaded region. (take \(\pi = \frac{22}{7})\)

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, 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.

PQR is a triangle such that |PQ| = |QR| = 8cm and QPR = 60º. Find the area of \(\angle\) PQR

The positions of two countries, P and Q, are (15ºN, 12ºE) and (65ºN, 12ºE) respectively. What is the difference in latitude?