2D Geometrical Shapes

The area of a rectangular room is $84 {\mathrm{m}}^2$. If the breadth of the room is $5 \mathrm{m}$ less than its length, the perimeter of the room (in meters) is ______.

The wheel of a motorbike makes $1000$ revolutions to cover a distance of $440 \mathrm{m}$. What is the diameter of the wheel (in $\mathrm{m}$)?

$\mathrm{ABCD}$ is a square. $\mathrm{M}$ is the mid-point of $\mathrm{AB}$ and $\mathrm{N}$ is the mid-point of $\mathrm{BC}$. $\mathrm{DM}$ and $\mathrm{AN}$ are joined and they meet at $\mathrm{O}$. Then which of the following is not correct?

The length and breadth of a room are $8 \mathrm{m}$ and $6 \mathrm{m}$ respectively. A cat runs along all the four walls and finally along a diagonal order to catch a rat. How much total distance is covered by the cat?

ΔPQR is a isosceles , ∠P = 70^o, QM and RM is a angle bisector then ∠QMR = ?

BE and CF are two medians of ΔABC and G the centroid. FE cuts AG at O. If OG = 2 cm, then the length of AO is-

Choose the sentence that best describes the given polygon.

Find the coordinates of the centroid of $∆\mathrm{ABC}$ whose vertices are $\mathrm{A} (2,3) , \mathrm{B} (5,7)$ and $\mathrm{C} (8,2) :$

In a circle, a minor sector is drawn. The length of the arc of the segment is $11 \mathrm{cm}$. If the area of the minor sector is $115.5 {\mathrm{cm}}^2$ , find the area of the major sector :

From a triangular glass of sides $40 \mathrm{cm} , 41 \mathrm{cm}$ and $9 \mathrm{cm}$ , find the area of the largest circular glass that can be cut from it :

If the side of a regular hexagon increases by $100\%$ , the area of the circle that circumscribes the hexagon increases by _____ .

Flowers are planted inside a Hexagonal field inscribed in a circular garden. If the area of the field, which is a regular hexagon , is $882\sqrt{3} {\mathrm{meter}}^2$ , find the remaining area of the circular garden where flowers are not planted : (Take $\sqrt{3} = 1.7)$

Sides of a right-angled triangle are in the ratio $\frac{5}{26} : \frac{6}{13} : \frac{1}{2}$ . If the perimeter of the triangle is $30 \mathrm{cm}$ , find the area of the circle inscribed inside the triangle :

A circle is inscribed in a right-angled triangle whose one perpendicular side is $75\%$ of the other. Find the area of the circle if the circumference of the circle is $11 \mathrm{cm}$ :

An equilateral triangle circumscribed by a circle  A has a perpendicular of $3.5 \mathrm{cm}$ drawn from one of the vertices to the opposite side of the triangle. What will be the area of the circle, B whose radius is thrice the radius of Circle A ?

Fences are put around a triangular field in a circle such that the triangular field is circumscribed by the circular fences. All the sides of the triangular field are $10\sqrt{3} \mathrm{meters}$ in length. If the rate of fencing is $₹14 \mathrm{per} \mathrm{meter}$, find the cost of fencing :

In a agiven fig. it $b=d and c=e$ then the values of $a+2b+2c$is

In a given fig. it $b=e and c=d and a={90}^{°}$, then find the value of $b+c$

In a given fig. it $b={45}^{°}$ and one of an angle is given $62°$. Find the value of

In a given figure, if $a=b=c=d=e$, mean it is a regular star, find each equal angle.