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Comment on Polygons
Hi,
Can we assume a polygon to be regular if nothing is mentioned?
No. If the question doesn't
No. If the question doesn't stated that the polygon is regular, we can't assume that it's regular.
Thanks
https://greprepclub.com/forum
I have a potential dumb question here: How can we assume that all the sides of convex polygon are equal?
Question link: https:/
Question link: https://greprepclub.com/forum/length-of-a-side-of-regular-pentagon-with-...
Good question.
The word "regular" tells us that all sides are equal.
Without the word "regular," we wouldn't be able to make any conclusions about the lengths of the sides.
Cheers,
Brent
I think in the last class you
That's correct; the 4 angles
That's correct; the 4 angles in a quadrilateral will ALWAYS add to 360°.
So, to answer your second question, the angles in a quadrilateral CANNOT have a sum less than 180°.
Where do I say that the angles in a quadrilateral have a sum less than 180°?
Cheers,
Brent
please you mentioned that to
Question link: https:/
Question link: https://greprepclub.com/forum/given-figure-is-that-of-a-regular-hexagon-...
The 6 angles in a hexagon will add to 720 degrees.
In the my solution to the above question, I divide the regular hexagon into 6 equilateral triangles.
Notice that each equilateral triangle has one of its angles at the CENTER of the hexagon.
These six angles at the CENTER are not part of the angles in a hexagon. So, we can disregard them.
When we disregard them, we see that the angles add to 720 degrees.
Does that help?
Cheers,
Brent
Dear Brent,
https://greprepclub.com/forum/a-regular-polygon-of-24-sides-is-inscribed-in-a-circle-12630.html
From your solution to this question, can I infer that perimeter of a polygon inscribed in a circle will always be smaller than the circumference of the inscribing circle cause distance from one point to another along a straight line will be smaller than the distance along a curve?
Absolutely! The perimeter of
Absolutely! The perimeter of a polygon inscribed in a circle will always be less than the circumference of the inscribing circle.
Hi Brent,
https://greprepclub.com/forum/in-a-particular-seven-sided-polygon-the-sum-of-four-equal-12768.html
For this I had approached in this way
As sum of the interioir angles=900
the 4 equal angles will be 900/4 = 225
so Qa = 225
Is this the right approach
Thanks
Question link: https:/
Question link: https://greprepclub.com/forum/in-a-particular-seven-sided-polygon-the-su...
Your approach yielded the correct answer, but it's not valid.
If each of the four angles were 225, then the other three angles would be 0 degrees (which is impossible)
Cheers,
Brent
I solved this problem by
https://greprepclub.com/forum/what-is-the-area-of-the-figure-below-11775.html
Question link: https:/
Question link: https://greprepclub.com/forum/what-is-the-area-of-the-figure-below-11775...
That's a perfectly valid approach. Nice work!