Question

HURRY HELP PLEASE!!!

Answer 1

The answer to your question is 48.29.

Answer 2

Answer: The area of the shape is 48.38 square centimeters.

Step-to-step explanation:-

The side-length of square = 15 cm

Area of square =$(\text{side}^2)=15^2=225\ cm^2$

Since, the  figure shown is formed by the arcs joining the midpoints of the four sides of a square, the radius of the quadrant =$\frac{15}{2}=7.5\ cm$

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= $\frac{90^{\circ}}{360^{\circ}}\pi r^2$

=$=\frac{1}{4}(3.14)(7.5)^2=44.15625\ cm^2$

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

=$225-4\times44.15625=48.375\approx48.38\ cm^2$

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