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?

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