Double the Area of a Circle

**Acorn** · 01 November 2018, 09:28 PM

Originally Posted by handrawn

I think you are onto something there keith..

how about:

make square same width/height as circle - the circle that aligns with the four corners of this square will be the one you want:

Click image for larger version.

Name: circle problem.png
Views: 23
Size: 8.7 KB
ID: 122526

That is a good refinement of Keith's approach.

i have a wheeze / trick / gimmick that I think improves even on this.

Acorn

**handrawn** · 01 November 2018, 10:32 PM

Originally Posted by Acorn

i have a wheeze / trick / gimmick that I think improves even on this.

Acorn

well I guess if you have the starting circle aligned to the square all you have to do it drag it, or a clone, out to the corners - could it be much simpler than that?

or are we talking about a different approach ?

**ss-kalm** · 01 November 2018, 11:42 PM

Much simpler ... Show grid ... Snap to grid.

Click image for larger version.

Name: 2018.11.01_20h37m04s_001_.png
Views: 37
Size: 83.8 KB
ID: 122531

**Acorn** · 02 November 2018, 08:46 AM

Originally Posted by ss-kalm

Much simpler ... Show grid ... Snap to grid.

Keith, obviously stimulating the creative juices.

Without a grid, using Snap to Shapes:

Click image for larger version.

Name: Double trouble.png
Views: 72
Size: 25.0 KB
ID: 122532

Acorn

**handrawn** · 02 November 2018, 09:50 AM

ah another way of looking at the symmetry

**Acorn** · 02 November 2018, 10:32 AM

My approach was to clone the circle and with the QuickShape tool change the clone to a square (create polygons, 4 sides).
Shift-dag a corner until the square is the same width/height as the original circle.
Final QuickShape tool change square back to a circle (Create ellipses).

My method clones a shape and morphs it into the final circle without creating additional scaffolding.

Click image for larger version.

Name: CircleSquareCircle.jpg
Views: 80
Size: 30.6 KB
ID: 122533

Keith's refined method is probably simpler to explain and understand so has to be the current winner.

Acorn

**handrawn** · 02 November 2018, 10:58 AM

changing the circle to square and back is not something I'd thought of doing, so something for me to take away

**stygg2003** · 02 November 2018, 11:19 AM

Originally Posted by Acorn

My approach was to clone the circle and with the QuickShape tool change the clone to a square (create polygons, 4 sides).
Shift-dag a corner until the square is the same width/height as the original circle.
Final QuickShape tool change square back to a circle (Create ellipses).

My method clones a shape and morphs it into the final circle without creating additional scaffolding.

Keith's refined method is probably simpler to explain and understand so has to be the current winner.

Acorn

I'm a bit late to the challenge but have posted a similar method as above I used.

Stygg