top button
Flag Notify
    Connect to us
      Facebook Login
      Site Registration Why to Join

    Get Free Puzzle Updates

Facebook Login
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
177 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

+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

+2 votes

In the figure, if ABCD and EFGC are squares with areas R and S respectively. What is the area of the blue region?

Area of Blue region

0 votes

In a unit square, two quarter circles are drawn, centered at two opposite vertices, What is the area of the oval-shaped region?

What is the area of oval shaped region

Contact Us
+91 9880187415
sales@queryhome.net
support@queryhome.net
#280, 3rd floor, 5th Main
6th Sector, HSR Layout
Bangalore-560102
Karnataka INDIA.
QUERY HOME
...