Calculate the area of a square circumscribed around a circle whose area is 36п.

univerkov | January 11, 2021 | education

Knowing the area of the circle, we determine its radius.
Scr = π * R2.
R2 = Samb / π = 36 * π / π = 36.
R = 6 cm.
Then the diameter of the circle is: D = MK = 2 * R = 2 * 6 = 12 cm.
The diameter of a circle is equal to the length of a side of a square circumscribed about a circle.
AB = BC = CD = AD = D = 12 cm.
Then the area of the square is equal to: Savsd = AB^2 = 12 * 12 = 144 cm2
Answer: The area of the described square is 144 cm2.

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