Would your rather paint 3/4 of a circle or a circular ring? Using area, explain your reasoning. Include calculations in your reasoning.

Step-by-step explanation:

The hole in the ring has half the radius of the ring, so has (1/2)^2 = 1/4 of the area of the large circle. The same-size circle with a 1/4 section removed has the same area as the ring.

Both figures have the same area.

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I'd rather paint the 3/4 circle, as it has a shorter curved edge, and longer brush strokes can be used to fill the space.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl