A circle is inscribed in a square with a perimeter of 32 inches. What is the area of the circle, in square inches? Express your answer in terms of pi.

Guest Dec 16, 2021

#1**+1 **

Each SIDE of the square is 32/4 = 8 inches..... this is also the circle DIAMETER.... Now, can you finish?

Area of circle = pi** r**^{2}

Guest Dec 16, 2021

#2**+1 **

Since, a circle is inscribed in a square, it means that the side of a square is equal to the diameter of a circle.

Since, the perimeter of a square is 32 inches.

A perimeter is a path that surrounds the two dimensional shape.

Perimeter of square is given by

side

side = 8 inches.

Since, side of a square = diameter of a circle

Therefore, diameter of a circle = 8 inches.

radius of a circle = , where d is the diameter

radius = = 4 inches.

The perimeter of a circle is termed as Circumference.

You can solve from here.

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AlgebraGuru Dec 16, 2021