Geometry: Mensuration, Trigonometry

Find the area of the triangle formed by the point located at (5, 2), (- 9, - 3) and (- 3, - 5).

A polygon that has 10 sides is called _____ .

If cos A + cos²A = 1, then the value of the expression (cos²A + cosA) is –

A room of size 5m × 3m and height 3m requires walls and ceiling painting. What is the area to be painted?

A 9 cm × 8 cm × 15 cm block of ice is being melted to make identical ice cubes. If surface area any two sides of the cubes has to be 72cm² how many ice cubes can be made?

When the diameter of a circle is tripled, the area of the circle will be increased by how many time?

The sum of the circumference of a circle and the perimeter of a rectangle is 130 cm. The area of the rectangle is 104 cm² and the length of the rectangle is 13 cm. What is the area of the circle?

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

How many poles can be erected along fence of 200 feet at equal distance of 20 feet?

To represent a family budget on a circle graph, how many degrees of the circle should be used to represent an item that is 20% of the total budget?

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 the length of the other side?

A right angled triangle, whose perpendicular sides measure 1.8cm and 2.4cm, is inscribed in a circle. What is the circumference of the circle (in cm)?

The area of the base of a cylinder is 100π m². The volume of the cylinder is 900π m³. What is the height of the cylinder?

If the line AB and CD meet at O and ∠BOD = 63°, then ∠BOC = ?

The difference between the radii of bigger circle and smaller circle is 14cm and the difference between their areas is 1,056cm². Radius of the smaller circle is

A triangular plot with sides of 25 feet, 40 feet and 55 feet is to surround by a fence built on pillars set 5 feet apart. How many pillars will be required to surround the plot?

What is the slope of a line perpendicular to the line whose equation is 20x - 2y = 6? 

I walk a certain distance and ride back taking a total time of 37 minutes. I could walk both way 55 minutes. How long would it take me to ride both ways?

A piece of wire 78 cm long is bent in the form of an isosceles triangle. If the ratio of one of the equal sides to the base is 5 : 3, then what is the length of the base?

A pole 6m high casts a shadow 2√3m long on the ground, then Sun's elevation is -