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.
Each SIDE of the square is 32/4 = 8 inches..... this is also the circle DIAMETER.... Now, can you finish?
Area of circle = pi r2
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 = 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.