Geometry: Mensuration, Trigonometry

Surface area of hollow cylinder with radius 'r' and height 'h' is measured by

The area of a triangle with sides 3 cm, 5 cm and 6 cm is -

If two angles are said to be complementary angles and one angle is 52° then the other angle is of:

If sin A + sin²A = 1, then the value of the expression (cos²A + cos⁴A) is –

Consider ΔABD such that angle ADB = 20° and C is a point on BD such that AB = AC and CD = CA. Then the measure of angle ABC is ____ .

The perimeter of a square is equal to the perimeter of a rectangle whose length and width are 6m and 4m respectively. The side of the square is

If a right-angled isosceles triangle has base 4 cm, then height is:

Which of the following angle can be constructed with the help of a ruler and a pair of compasses?

The side length of a square inscribed in a circle is 2. What is the area of the circle shown at the right?

What is the parameter of a rectangle that is 24 meter wide and has the same area as another rectangle that is 64 meter long and 48 meter wide?

If a ladder touches the roof of a wall and makes an angle of 45° with the 15 metre long wall, then the length of the ladder is-

The area of the right triangle is 184cm^2. One of its leg is 16cm long. Find the length of the other leg.

A sphere is created with half the radius of the original sphere. What is the ratio of the volume of the original sphere to the volume of the new sphere?

If x is the length of a median of an equilateral triangle, then the area is 

If 0 ≤ x ≤ 5. What is the maximum value of cos(x/3)?

If a, b and c are the lengths of the three sides of a triangle, then which of the following is true?

A tree of height 4 meter casts a show of length 6.5 meter. What is the height of a house casting a shadow 26 meter long?

If the area of a triangle with base x is equal to the area of a square with side x, then the altitude of the triangle is -

How many ounces make 4.75 pounds?

A Triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be length of the other side?