Polygon

Polygons that have any portions of their diagonals in their exteriors are called :

One of the angles of the irregular octagon is $160°$. If the remaining angles are $3:2:4:5:1:6:2$. What is the largest angle ?

One of the angles of the irregular heptagon is $150°$. If the remaining angles are in the ratio $2:3:4:1:1:4$. What is the smallest angle?

The angles of polygon are in the ratio $1:2:3:5:9$. What is the largest angle ?

One of the angle of a irregular hexagon is $120°$.If the remaining angles are in the ratio $1:2:3:4:2$.What is the second smaller angle?

If $\mathrm{PQRS}$ be a rectangle such $\mathrm{PQ}=3\mathrm{QR}$. Then, what is $\angle \mathrm{PRS}$ equal to?

Area of rhombus is $72\sqrt{3}\mathrm{sq}.\mathrm{cm}$ of side $12\mathrm{cm}$. The exterior angle of polygon is equal to the one angle of rhombus. Find the interior angle of polygon. Enter your response (as an integer) using the virtual keyboard in the box provided below.

Perimeter of hexagon and n sided polygon is the same. The side of hexagon is $2$ times the side of n sided polygon. Find the ratio between interior angle of the hexagon and the interior angle of n sided polygon.

A square of side $4\mathrm{cm}$ is cut down into regular octagon of area. Find the area of octagon. $\sqrt{2}=1.414$

Length of the longest diagonal hexagon ABCDEF is $5\mathrm{cm}$and perimeter of hexagon is $18\mathrm{cm}$. Find area of shaded potion. 

 

A regular hexagon is inscribed in a circle of circumference 44cm. Find the area of hexagon.

PQRSTU is a regular hexagon PN : NQ $=4:3$ and MN $\parallel$ PU. Find the ratio of PU : MN.

Polygon P of side a has $35$ diagonals and polygon Q of side b has $90$ diagonals of polygon of (b-a) sides.

In a parallelogram ABCD, let point E on BC such that AE is perpendicular to BC and BE:BC, If area of $∆\mathrm{AEB}=96$ sq. cm and AE $=16$cm, then find the perimeter of parallelogram.

if sum of the interior angles of a regular polygon is $1260°$. Find the number of triangles formed from joining vertices of polygon. Enter your response (as an integer) using the virtual keyboard in the box provided below.

$\mathrm{ABCDE}$ is a regular pentagon. Its sides are extended as shown in the figure. The value of $\frac{\angle \mathrm{ABC}+2\angle \mathrm{EGD}+3\angle \mathrm{BAJ}}{6}$ is:

If the side of the pentagon-shaped photo frame is increased by $12\%$. Then find the percentage change in the area of the pentagon.

If a mall is in the shape of a regular octagon of side $70 \mathrm{m}$. Then find the cost of flooring of the mall if the cost per unit area is $₹10$.

If each exterior angle of a regular polygon ${30}^{\circ }$. Then find the ratio between the number of sides to the total number of diagonal.

Find the sum of exterior angles of a regular polygon shaped playground, if the number of diagonals in the playground is $14$.