## Saturday, September 05, 2015

### Understanding Regular Polygons through Question Solving Video

In this video I have continued with my explanation of regular polygons and I have talked about some unique properties of regular polygons and ways of solving some specific type of questions that we frequently encounter in our exams. This is a mix of easy and difficult questions and repeated viewing of this video is required in order to have a firm grip over the concepts discussed in this video.

The Questions are given as below -

Question 1. A polygon has 35 diagonals. How many sides does it have ?

Question 2. ABCDE is a regular pentagon. Diagonal AD divides angle CDE into two parts. Find the ratio of the angle ADE to angle ADC.

Question 3. The difference between exterior angle of a n-1 sided regular polygon and exterior angle of n+2 sided regular polygon is 6 degree. What is the value of n ?

Question 4. Ratio of Interior Angle to Exterior Angle of a regular polygon is 7:2 . What is the number of sides of that regular polygon ?

Question 5. The ratio of number of sides of two regular polygons is 1:2 , ratio of measure of their interior angle is 3:4 , what are the number of sides of the two polygons ?

Question 6. A six side regular polygon i.e. Hexagon is inscribed in a circle of radius 10 cm, find the length of one side of the hexagon ?

Question 7. On a regular hexagon, six circles of equal radii are drawn, with centres at each vertex, such that each circle touches the two circle with centers at adjacent vertices. Then two concentric circles C1 and C2 are drawn touching all the six circles. What is the ratio of the areas of C1 and C2, if C1 is the smaller circle.

Question 8. Find the area of a regular pentagon whose side is 40 cm, given COT 36 = 1.376

Question 9. Find the area of regular hexagon, whose side is equal to the side of the square with perimeter equal to 36 cm

Question 10. In a regular octagon MNOPQRST, a quadrilateral QPST is formed by joining OT and PS. The side of the octagon is 12 root 2. Find the area of OPST ?