top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

Following figures shows a unit square ABCD. If the area of the octagon (in blue) can be expressed as 1/a find a?

0 votes
396 views

Following figures shows a unit square ABCD. If the area of the octagon (in blue) can be expressed as 1/a find a?

enter image description here

posted May 2, 2016 by Ankur Athari

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

0 votes

In similar triangles W.BC and HXC WB is half of BC therefore HX is half of WB i.e. 0.5*0.5=0.25 units. Thus HV=0.25 also. The vertex angle of HVI is 350/8 = 45. Solution of the isosceles triangle HVI gives its height as 0.23097 and half of base as 0.095671. Thus area of one triangle is 0.23097*0.095671=0.022097. Thus area of the regular octagon =8* 0.022097=0.176777 units. The inverse of this is 5.656854. This corroborates solution over internet.

answer Dec 12, 2016 by Kewal Panesar



Similar Puzzles
0 votes

If ABCD is a square of area 1. E, F are mid points of AB and BC respectively. What is the area of blue region?

Area of blue region

0 votes

What is the area of the blue square divided by the area of square ABCD?

enter image description here

+1 vote

The given figure shows a circle, centred at O, enclosed in a square. Find the total area of shaded parts?
enter image description here

+1 vote

The given figure shows a triangle and a circle enclosed in a square. Find the area of the shaded parts?
enter image description here

0 votes

Three circles of unit radius and touching each other. What is max possible area of blue circle as shown in image? And what about red circles?
enter image description here

...