How will the circumference of a circle change if the area of the corresponding circle increases 36 times?

For calculations, we use the formulas for the circumference and area of a circle: L = 2πR, S = πR².

It is known that S1 = 36 * S.

πR1² = 36πR².

R1² = 36R².

R1 = 6R.

Now consider L1.

L1 = 2πR1.

L1 = 2π * 6R.

L1 = 6 * (2πR).

Substitute the value in the resulting expression: L = 2πR.

L1 = 6 * L.

Answer: the circumference will increase 6 times.

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