Geometry: Mensuration, Trigonometry

The area of a rectangle is 40cm² and one of its sides is 8cm long. What will be its perimeter?

A box is made in the form of a cube. If a second cubical box has inside dimensions three times those of the first box, how many times as much does the second box contain?

If the area of a rhombus is 54 sq. cm and the length of one of the diagonals is 6 cm then the length of the other diagonal is–

If 1 + sinθ = x cosθ , then tanθ is -

In the figure at the right end, PS is perpendicular to QR. If PQ = PR = 26 and PS= 24, then QR =?

The circumference of the circle and the perimeter of the square is equal and the ratio between the diameter of the circle and the side of the square is 7 : 11. What is the area of the circle?

Choose the equation of a circle with radius 6 and center (3, -5).

To the nearest degree, what is in the measure of the second smallest angle in a right triangle with sides 5,12 and 13?

If the radius of a sphere is increased by 10%, how much will the surface area be increased in percentage?

A circular garden with a diameter of 20 meters is surrounded by a walkway of width 1 meter. What is the area of the walkway?

Find the area of rhombus one side of which measures 20cm one diagonal 24cm.

To avoid paying a toll on a direct road. I go west 10 km, south 5 km, west 30 km and north 35 km. What is the length of the toll road?

In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :

A rectangular fish tank 25m by 9m has water in it to a level of 2m. This water is carefully poured into a cylindrical container with a diameter of 10m. How high will the water reach in the cylindrical container?

A circle of radius 14cm is divided into 8 equal sectors. Find the area of each sector.

If angle B of isosceles triangle ABC is a right angle, what is the tangent of angle A?

A trapezium has a total area of 25 square feet. if the height of this trapezium is 2 feet and one of the two parallel sides is one foot longer than the other. What is the length of the longer side?

The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 m³. Find the breadth of the wall. 

In Δ ABC, AB = BC and AC is the hypotenuse. The value of ∠C is -

To the nearest degree, what is the measure of the smallest angle in a right triangle with sides 5, 12 and 13?