2. The length of diagonal BD of a parallelogram ABCD is 36 cm. P and Q are the centroids of triangle ABC and triangle ADC respectively. What is the length (in cm) of PQ?
4. The tangents drawn at points A and B of a circle with centre O, meet at P. If ?AOB = 120° and AP = 6 cm, then what is the area of triangle (in cm2) APB?
5. PQRS is a square, M is the mid-point of PQ and N is a point on QR such that NR is two-third of QR. If the area of ?MQN is 48 cm2 , then what is the length (in cm) of PR ?
7. A solid cone of height 36 cm and radius of base 9 cm is melted to form a solid cylinder of radius 9 cm and height 9 cm. What percent of material is wasted this process?
8. Diameter of wheel of a cycle is 21 cm. The cyclist takes 45 minutes to reach a destination at a speed of 16.5 km/hr. How many revolutions will the wheel make during the journey?
10. O is the center of the circle and two tangents are drawn from a point P to this circle at points A and B. If ?AOP = 50°, then what is the value (in degrees) of ?APB?