Desinstalar Arcade Deluxe

Statement

circle divided into equal areas

The statement is very clear. Clearly, if we divide a particular case, taking appropriate scales can be generalized to any radio.

However, for ease of divisibility and not work with fractions, we could take a multiple of 4 on radio a unit. The area of \u200b\u200bthe circle would be 16π square units, so that each division must have 4π square units of area. It is clear that the inner circle must have radio 2 to have this area. The next concentric area, if you must have an area of \u200b\u200b4π, by adding the inner circle became a circle of area 8π, and its radius should be √ 8 = 2 √ 2 units (approximately 2.82824).

concentric

The third area should have, if we combine the first two, 12π square units. Again, your radio will be √ 12 = 3 √ 2 units (approximately 3.4641).

Taking appropriate scale, if the radio, rather than 4 units is a generic radius r, the inner circle will have radius of length r / 2, the next division will have radius r * (√ 2) / 2, and the third r * (√ 3) / 2.

Curiously intuitive proportions are not recognized in the final drawing.