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In ratios, the ratios of areas is the square of the ratio of sides.

Consider the original circle and the new larger circle formed by multiplying its radius (length) by 3:

The circles have lengths in the ratio 1 : 3

→ the circle have areas in the ratio 1² : 3² = 1 : 9

→ The larger circle's area is 9 × 120 mm² = 1080 mm²

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Q: If the radius of a circle with an area of 120 mm squared is multiplied by 3 what is the area of the new circle?
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