Calculate the value of ∡OBC + ∡BAC, if O is the circum-center of the triangle ABC inscribed in the circle.

The curved surface area and the diameter of a right circular cylinder are 132 sq.cm and 7 cm respectively. Find its height (in cm).

Find the volume (in cm3) of a cuboid of length, breadth and height of 7.5 cm, 5 cm and 6 cm respectively.

If DE is parallel to BC and bisects the other two sides of the triangle ABC such that the ratio AD/DB = 5/13 and the length of the part EC is 26 cm. Then determine the length of AE (in cm).

In a triangle the length of the side opposite the angle which measures 60° is 15 cm, what is the length of the side opposite to the angle which measures 90°? 

The surface area of a sphere is 5544 cmFind its diameter (in cm).

The copper wire when bent in the form of a square encloses an area of 121 cub.cm. If the same wire is bent into the form of a circle, find the area of the circle.

PQ is the chord of a circle whose centre is O. ROS is a line segment originating from a point R on the circle that intersect PQ produced at point S such that QS = OR. If ∠QSR = 30°, then what is the value (in degrees)of POR?

The line passing through (4,3) and (y,0) is parallel to the line passing through (­-1,-­2) and (3,0). Find y?

The minimum number of straight lines required to construct the given figure is ___.

In ΔABC, ∠B is right angle, D is the mid point of the side AC. If AB = 6 cm, BC = 8cm, then the length of BD is

The lengths of two diagonals of a rhombus are 24 cm and 32 cm. What is the side (in cm) of the rhombus?

The sum of the lengths of the edges of a cube is equal to twice the perimeter of a square. If a quarter of the numerical value of the volume of the cube is equal to the numerical value of the area of the square, then the length of one side of the square is

An angle is 1/3 its supplementary angle. Find the measure of the angle?

The length of the diameter of the circle is 10 cm and length of the chord drawn in a circle is 6 cm. Find the distance (in cm) of chord from the center.

The diameter of the driving wheel of a cart is 154 cm. Calculate the revolution per minute [RPM] of the wheel in order to keep a speed of 33 kmph?

Choose the correct option for the following figure.

If the curved surface area of a right circular cone is 10010 sq cm and its radius is 35 cm, find its volume?

If the side of the equilateral triangle is 8√3 cm, then what is the length (in cm) of the in radius of the triangle?

What is the slope of the line perpendicular to the line passing through the points (­-4,5) and (3,­-2)?

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:3, what is the ratio of area of ΔADE and area of quadrilateral BDEC?

Incentre of Δ ABC is I. ∠ABC = 90° and ∠ACB = 70°. ∠AIC is

Two regular polygons are such that the ratio between their number of sides is 1:2 and the ratio of measures of their interior angles is 3:Then the number of sides of each polygon are

If the lengths of the two parallel sides of a trapezium are 8 cm and 10 cm and its area is 54 cm². Find the distance between its parallel sides (in cm).

Which of the following triangle is formed when the triangle has all the three medians of equal length?0

Find the in-radius (in cm) of an equilateral triangle whose sides are 6 cm each.

The line parallel to the BC of the triangle ABC divides the other two sides at the point D and E in such a way that AB=3AD. Calculate the ratio of DE and BC.

If triangle ABC = triangle XYZ and angle BAC = 55 deg, then angle ZXY = ?

The co-ordinates of the centroid of a triangle ABC are (1 , -4). What are the co-ordinates of vertex C if co-ordinates of A and B are (3 , -4) and (0 , 5) respectively?

The length, breadth and height of a cuboid are 10 cm, 6 cm and 4 cm respectively. What is the total surface area?

The surface area of a sphere is 2464 cm². Find its diameter (in cm).

The curved surface area and the slant height of a right circular cone are 858 cm² and 13 cm respectively. Find its diameter (in cm).

If the sum of the interior angles of a regular polygon is 1260 deg , then how many sides does it have?

In ΔABC, ∠B=90 deg and BC= √3 AB. Find the measurement of ∠A

The two equal sides of an isosceles triangle is 20 cm each and the third side is 30 cm. What is the area (in sq.cm) of the triangle?

If the measure of the interior angle of a regular polygon is 100 deg greater than the measure of its exterior angle then how many sides does it have?

The area of the base of a cone is 64pi sq.cm while its slant height is 17 cm. This cone is remolded to obtain a solid sphere. The radius of this sphere will be

Find the total surface area (in cm2) of a cuboid of length, breadth and height of 10.5 cm, 8 cm and 9 cm respectively.

A tent is to be built in the form of a cylinder of radius 7 m surmounted by a cone of the same radius. If the height of the cylindrical part is 8 m and slant height of the conical part is 12 m, how much canvas will be required to build the tent? Allow 20% extra canvas for folding and stitching. (Take π = 22/7)

The base area of a right pyramid is 57 sq. units and height is 10 units. Then the volume of the pyramid is

If the sum of the measures of all the interior angles of polygon is 1800°, find the number of sides of the polygon?

The length, breadth and height of a cuboidal box are in the ratio 7 : 5 : 3 and its whole surface area is 27832 sq.cm. Its volume is:

Find the volume (in cm3) of a right circular cylinder of diameter 42 cm and height 14 cm.

Find the total surface area (in cm²) of a right circular cylinder of diameter 28 cm and height 12 cm.

The curved surface area and the height of a right circular cylinder are 660 cm2 and 10 cm respectively. Find its diameter (in cm).

What is the sum of the measures of all the interior angles of a regular polygon of 5 sides?

In a triangle ABC, ∠A = 70°, ∠B = 80° and D is the incentre of ΔABC. ∠ACB = 2x° and ∠BDC = y°. The values of x and y, respectively are

The total surface area of a hemisphere is 166.32 sq cm, find its curved surface area?

In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 30°, then what is the value (in degrees) of ∠PBC?

What is the reflection of the point (-3, 1) in the line x = -2?