Geometry: Mensuration, Trigonometry

Area of a rectangular field is 400 square meter. If its length is 16 meter. What is his circumference of the field?

In the figure, AD and BC are lines intersecting at O. What is the value of a?

The volume V of a right circular cylinder is V = πr²h where r is the radius of the base and h is the height of the cylinder. If the volume of a right circular cylinder is 45π and its height is 5, what is the circumference of its base?

If a square region has area n, what is the length of the diagonal of the square in terms of n?

A rectangle is 14 cm long and 10 cm wide. If the length is reduced by x cms and its width is increased also by x cms so as to make it a square, then its area changes by:

A hall is 15m long and 12m broad. If the sum of the areas of the floor and the ceiling is equal to of the areas of four walls, the volume of the hall is:

The difference between the length and the breadth of a blackboard is 8cm. If the breadth is decreased by 4cm and the length increased by 7cm, the area remains the same. Find the dimensions of the blackboard?

The distance from the point P to two vertices A and B of an equilateral triangle are ।PA।= 2 and ।PB।= 3. What is the greatest possible value of ।PC। = ?

What is the slope of the line perpendicular to the line y = -5x + 9?

If the difference between the circumference and diameter of a circle is 60 cm, then the radius of the circle is

A tank is 25 m long, 12 m wide and 6 m deep. The core of plastering its walls and bottom at 75 paisa per m² is:

What is the volume of a cylinder with radius 6 and height of 7?

The base of an isosceles triangle is 6cm and one of the equal sides is 12cm. Find the radius of the circle through the vertices of the triangle?

What is the area of the largest sphere that can be placed inside a cube of volume 216 cm³?

Rectangular Floors X and Y have equal area. If Floor X is 12 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?

The line perpendicular to the tangent line is called -

A room 8 m long, 6 m high and 22.5 cm thick is made up of bricks, each measuring 25 cm × 11.25 cm × 6 cm. The number of bricks required is.

A farmer has two rectangular fields. The larger field has twice the length and four times the width of the smaller field. If the smaller field has area K, then the area of the larger field is greater than the area of the smaller field by what amount?

A garden of 100 meter length and 60 meter width has a walkway of 2 meter width on every side. What is the area of the garden, in square meters, excluding the walkway?