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type the correct answer in the box. assume that π = 3.14, and round your answer to the nearest hundredth.

the figure shown is formed by the arcs joining the midpoints of the four sides of a square with a side length of 15 centimeters.

the area of the shape is square centimeters.

The area of the shape is 48.38 square centimeters.

Step-to-step explanation:-

The side-length of square = 15 cm

Area of square =

Since, the  figure shown is formed by the arcs joining the midpoints of the four sides of a square, the radius of the quadrant =

Since, all the interior angles in a square is a right angle, therefore, each quadrant is a sector of 90° in a circle of 7.5 cm radius.

Area of each quadrant=

=

Now, Area of shaded region = Area of square -4 × Area of quadrant

=

Hence, The area of the shape is 48.38 square centimeters.

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