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Practice Mensuration Questions and Answers

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?
Number p is 15% more than 150. If k is 15% less than p, then k is equal to:
If ∆ ABC~∆ FDE such that AB = 9 cm, AC = 11 cm, DF = 16 cm and DE = 12 cm, then the length of BC is:
tan(θ -14π) is equal to:
In an equilateral triangle ABC, D is the midpoint of side BC. If the length of BC is 8 cm, then the height of the triangle is:
Find the mean proportion between (6 + √8) and (3 – √2).
The curved surface area of the sphere is 154 cm2 . Find the volume of the sphere (rounded off to one digit after decimal).
In triangle ABC, the bisector of angle BAC cuts the side BC at D. If AB = 10 cm, and AC = 14 cm then what is BD : BC ?
In triangle ABC, AD is the angle bisector of angle A. If AB = 8.4 cm and AC = 5.6 cm and DC = 2.8 cm, then the length of side BC will be:
Find the number of common tangents, if r1 + r2 = C1C2 .(With usual notations, r1 & r2 and C1 & C2 are the radii and centres of the two circles.)
The length of the side of a cube is 5.6 cm. What is the volume of the largest sphere that can be taken out of the cube?
If sec 2θ = cosec (θ – 36°), where 2θ is an acute angle, find the value of θ.
What will be the value of sin 10° – 4/3 sin3 10°?
If the length of certain rectangle is decreased by 4 cm and breadth is increased by 2 c, it would result in a square of the same area. What is the perimete...
A wire is in the form of square with side 11 cm. It is bent to form a circle. What is the radius of the circle?
The mean proportional of a and b is c. What is the mean proportional of a2 c and b2 c?
The mid points of AB and AC of a ∆ABC are X and Y, respectively. If BC + XY = 24 units, then the value of BC − XY is:
Find the area of the sector of a circle with radius 4cm and angle 30°.
If b sin θ = a, then sec θ + tan θ = ?
The perimeter of a sector of a circle, whose radius is 20 cm, is 60 cm. If the length of a rectangle is 10 cm more than the arc subtended by the sector and...
The perimeter of a sector of a circle, whose radius is 15 cm, is 61 cm. If the length of a rectangle is 10 cm more than the arc subtended by the sector and...
The perimeter of a sector of a circle, whose radius is 18 cm, is 62 cm. If the length of a rectangle is 10 cm more than the arc subtended by the sector and...
The perimeter of a sector of a circle, whose radius is 17 cm, is 63 cm. If the length of a rectangle is 10 cm more than the arc subtended by the sector and...
The perimeter of a sector of a circle, whose radius is 22 cm, is 64 cm. If the length of a rectangle is 10 cm more than the arc subtended by the sector and...
The length of the rectangle is triple its breadth. If the perimeter of the rectangle is 120 m, then find the area (in m 2) of the rectangle.
A storeroom has only steel and copper rods in the ratio 4:3, respectively and the weight of each steel and each copper rod is in the ratio 5:6, respectivel...
A storeroom has only steel and copper rods in the ratio 3:4, respectively and the weight of each steel and each copper rod is in the ratio 5:8, respectivel...
The perimeter of 4 squares is 20 cm, 24 cm, 32 cm and 36 cm respectively. What will be the area of the square having perimeter equal to sum of edges of 4 s...
The perimeter of 3 squares is 28 cm, 36 cm and 48 cm respectively. What will be the area of the square having perimeter equal to sum of edges of 3 squares?...
The perimeter of 4 squares is 20 cm, 36 cm, 40 cm and 48 cm respectively. What will be the area of the square having perimeter equal to sum of edges of 4 s...
The perimeter of 4 squares is 32 cm, 40 cm, 48 cm and 56 cm respectively. What will be the area of the square having perimeter equal to sum of edges of 4 s...
The perimeter of 3 squares is 30 cm, 36 cm and 42 cm respectively. What will be the area of the square having perimeter equal to sum of edges of 3 squares?...

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