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Draw two diameters perpendicular to each other. Draw a smaller circle with the same centre such that the radius of the inner circle is 'r' and the radius of the outer circle is 'r√2.' [Or, the radius of the outer circle is R and the radius of the inner circle is R/√2.]
first you draw a circle, divide it into 4
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AnswerThere are 2pi radians in a full circle. If we cut a circle into 5 equal parts, each central angle will have 2pi/5 (or 72 degrees), and each arc intercepted form those central angles will be (2/5)(pi)(r). AnswerYes, you can, using just a compass and straight edge. For any given circle you construct, construct a pentagon inside it using that compass and straight edge, then use the vertices of the pentagon to divide the circle into 5 equal sectors. Use the link below to see how the construction proceeds.
Draw two diameter lines, then draw a circle inside the circle.
You can cut a round cake into eight parts with three cuts, but you can't cut a circle into eight parts with three straight lines.
You can't. However, you can divide it into seven, like so: Make the lines make a triangle in the middle of the circle, rather than making them meet at the centre.
Infinite amount of times. Its just a matter of how accurate you can draw the dividing lines.
have have to divide them
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no
you need to fold the circle in half first, then cut it into 6, then unfold and draw a line down the folded area
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Yes you can, but you have to use zig zag lines. Using straight lines there are only four ways to divide a square into two equal parts (along the lines of symmetry).
Draw two diameters perpendicular to each other. Draw a smaller circle with the same centre such that the radius of the inner circle is 'r' and the radius of the outer circle is 'r√2.' [Or, the radius of the outer circle is R and the radius of the inner circle is R/√2.]
a)Draw a line thru the center intersecting 2 points on either sides of the circle b)Using radius of the same circle, draw 2 arcs in both intersecting points. Along with the straight line, this will cut out 4 sectors, with the rest of the circle sum to get for the 5th portion.