A circle is to be cut from a 12 ft square board. What will be the area, in square feet, of the inscribed circle? Leave your answer in terms of π.

3π sq.feet

Step-by-step explanation:

Area of the square = L²

L is the length of the square

Given

Area of the square = 12 ft square

12 = L²

L = √12

L = 2√3 feet

Since the circle is inscribed in the square, the length of the square will be the diameter of the circle;

Area of the circle = πd²/4

Area of the circle = π(2√3)²/4

Area of the circle  = 12π/4

Area of the circle = 3π sq.feet

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