What is the area (in $m^2$) of a circular path of uniform width of 1.3 m surrounding a circular garden of diameter 126 m? (Take $\pi$ = $\frac{22}{7}$)
556.16
Using the English version's values (width = 1.3 m, pi = 22/7), the area of the path = pi x width x (diameter + width) = (22/7) x 1.3 x 127.3, approximately 520.11 m2; using a width of 1.4 m instead gives exactly 560.56 m2 (option D). The marked answer key indicates option (B) 556.16.
For a right-angled triangle, the perpendicular length is 2 cm more than the base and the hypotenuse is 4 cm more than the base of the right-angled triangle. Find the hypotenuse length of the triangle. (in cm)
The length of each of a pair of opposite sides of a parallelogram is 16cm and the perpendicular distance between these two sides is 10 cm. What is the area (in cm) of the parallelogram?
The sum of the radius of the base and the height of a closed solid cylinder is 12.5 cm. If the total surface area of the cylinder is 275 cm², then its radius is:
(Take π = 22/7)
The areas of three adjacent faces of a cuboidal tank are 3 m 2, 12 m 2 and 16 m 2. the capacity of the tank, in litres, is:
Volume of a cuboid is 4800 cm 3. If the height of this cuboid is 20 cm, then what will be the area of the base of cuboid ?
Two similar cubes have heights of 8 cm and 12 cm, respectively. If the capacity of the smaller cube is 80 cm 3, what is the capacity of the bigger cube (in cm 3)?
Three circles of radius 7 cm are kept touching each other. The string is tightly tied around these three circles. What is the length of the string?
Three circles of radius 6 cm are kept touching each other. The string is tightly tied around these three circles. What is the length of the string?