How will the circumference of a circle change if the area of the corresponding circle increases 36 times?
| May 31, 2021 | education
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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