Practice Average – Given below are 2 circles with centre P and Q and radius 4m and 6m respectively. Distance between the centres is 12 m AB and CD are common tangents. Find the length of AB in the figure given below
Practice Area – What is the percentage of increase in area of a triangle if its sides are doubled?
Practice Area – 4 horses are tethered at 4 corners of a square plot of side 63 meters so that they just cannot reach one another. the area left ungrazed is
Practice Area – Given below are 2 circles with centre P and Q and radius 4m and 6m respectively. Distance between the centres is 12 m AB and CD are common tangents. Find the length of AB in the figure given below
Practice Area – There is a triangular building (ABC) located in the heart of Jaipur, the Pink City. The length of the one wall in east (BC) direction is 397 feet. If the length of south wall (AB) is perfect cube, the length of southwest wall (AC) is a power of three, and the length of wall in southwest (AC) is thrice the length of side AB, determine the perimeter of this triangular building.
Practice Area – Three horses are grazing within a semi-circular field. In the diagram given below, AB is the diameter of the semi-circular field with center at O. Horses are tied up at P, R and S such that PO and RO are the radii of semi-circles with centers at P and R respectively, and S is the center of the circle touching the two semi-circles with diameters AO and OB. The horses tied at P and R can graze within the respective semi-circles and the horse tied at S can graze within the circle centered at S. The percentage of the area of the semi-circle with diameter AB that cannot be grazed by the horses is nearest to
Practice Area – A semicircle is drawn with AB as its diameter. From C, a point on AB, a line perpendicular to AB is drawn meeting the circumference of the semicircle at D. Given that AC = 2 cm and CD = 6 cm, the area of the semicircle (in sq. cm.) will be:
Practice Area – There is a square paper with each of its sides measuring 50 cm. A student has to cut a triangular piece of paper out of this square but can only straight line cut the piece once. The length of a single straight line cut is exactly 30 cm. What is the maximum area of the triangular part obtained (in )?
Practice Area – The diameter of the smaller circle is equal to the side of the square and the diagonal of the square is equal to the diameter of the bigger circle. If the circles are concentric, then their areas are in the ratio
Practice Area – In a 4000 meter race around a circular stadium having a circumference of 1000 meters , the fastest runner and the slowest runner reach the same point at the end of the 5th minute, for the first time after the start of the race. All the runners have the same staring point and each runner maintains a uniform speed throughout the race. If the fastest runner runs at twice the speed of the slowest runner, what is the time taken by the fastest runner to finish the race?
Practice Area – A rectangular courtyard 3.78 meters long and 5.25 meters wide is to be paved exactly with square tiles ,all of the same size. What is the largest size of the tile which could be used for the purpose?
Practice Area – The whole surface of a rectangular block is 8788 cm2. If its length, breadth and height are in the ratio of 4:3:2, what is the length?
Practice Area – A square was given. Inside the square there are white tiles and black tiles. Black tiles was among the diagonal of the square and dimensions of both white as well as black tiles is 1cmx1cm. If there are 81black tiles in the sqaure. Then find the no. of white tiles in it.
Practice Area – The length, breadth and height of a room are in the ratio 3:2:1. If the breadth and height are halved while the length is doubled, then the total area of the four walls of the room will
Practice Area – A hexagon of side a cm is folded along its edges to obtain another hexagon What is the % decrease in the area aof orignal hexagon ?
