Geometry PYQ — Page 7

The area of a circle is 154 cm$^2$. Find the circumference of the circle. (Take $\pi = \frac{22}{7}$)

If perimeter of a rhombus is 104 cm and length of one of its diagonals is 48 cm, then area of the rhombus (in cm$^2$) is :

If point B(0, 1) is equidistant from points A(5, -3) and C(x, 6), then find the values of x.

In a $\Delta ABC$ right angled at A, if $\angle ABC = 60^\circ$ and AC = 4 units, then length of BC (in units) is :

The heights of two right circular cones are in the ratio 1 : 2 and the circumferences of their bases are in the ratio 3 : 4. Find the ratio of their volumes.

From a point P on the ground the angle of elevation of the top of 10 m high building is $30°$. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from the point P is $45°$. Length of the flagstaff is: (Take $\sqrt{3} = 1.732$)

In the given figure DE || BC, the value of x is: 

The distance between two parallel sides of a trapezium is 15 m and its area is 480 m$^2$. If one of the parallel sides is 20 m long, then length of the other side is:

A man standing on the bank of a river observes that the angle subtended by a tree standing on the opposite bank is 60 degrees on his side of bank. When he moved away 24m from the bank, he finds the angle to be 30 degrees. Find the breadth of the river:

From a solid cylinder whose height is 2.4 cm and diameter is 1.4 cm, a conical cavity of same height and same diameter is carved out. The total surface area of the remaining solid is: Use $\pi = \frac{22}{7}$

Which of the following statements are incorrect? (a) Volume of a cone = $\frac{1}{3}\pi r^3 h$ (b) Volume of a cone = $\frac{1}{3}\pi r^2 h$ (c) Volume of a hemisphere = $\frac{2}{3}\pi r^2$ (d) Volume of a hemisphere = $\frac{2}{3}\pi r^3$ (e) Volume of a cylinder = $\frac{1}{3}\pi r^3 h$ Choose the correct answer from the options given below:

If CE is parallel to DB, what is the value of $x$: 

The surface area (in $m^2$) of a sphere of radius 7 cm is: Use $\pi = \frac{22}{7}$

The volume of a sphere of radius r is obtained by multiplying its surface area with:

Find the area of an equilateral triangle each of whose sides measures 4 cm:

The area of Trapezum DGCE is.

The area of triangle ABF is.

The volume of cylinder is

Area of triangle AFC is.

If the area and sum of parallel side of a trapezium are 48 cm^2 and 48cm respectively. Then the distance between the parallel sides is

In parallelogram ABCD, angle A is greater than angle B by 10$\degree$, then measure of angle D is

Find the area of the largest circle that can be drawn inside a rectangle with sides 8 m $\times$ 9 m.

Area of rhombus ABCD is :

If the outer surface area of cylinder is pointed @ Rs 0.5/cm^2, then the total cost of painting is