Question

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

Answer 1

• areas are the same
• the 3/4 circle may be easier to paint

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.