PLEASE PLEASE HELP! I'm really stuck on this question?!

There is a square of side 50cm. The shape inside the square is made by drawing a quarter of a circle at each corner of the square.
Calculate:

(a) the perimeter of the shape inside the square
(b) the area of the shape inside the square

Image below of shape. I'm very stuck on this question. Thanks so much! :)

I cannot see the image, but I think I understand what you are describing. I am picturing a circle divided up into 4 equal segments with the center point (that would be of the entire circle) is the point in each corner.

With the square having the dimensions of 50cm x 50cm, then the radius of each of the four quarter circles will be 25cm

Now, the perimeter of the figure defined by drawing 4 quarter circles will be the "quarter" circumference of each quarter circle. However, since you have 4 "quarter" circumferences.... it will just be the actual circumference measurement of the entire circle

Circumference = 2(Pi) r
r = 25cm
The perimeter = 2(Pi)(25) = 50(Pi) cm

Using Pi = 3.14

The perimeter of the inner shape = 157 cm

Now, the area of this shape you created by using these 4 quarter circles will be....
the area of the square MINUS the area of the 4 quarter circles.

As with the circumference, the area of the 4 quarter circles will equal the actual area of the original circle used to generate this design
area of a circle = (Pi)r^2

SQUARE area - CIRCLE area
(50cm)(50cm) - (Pi)(25cm)(25cm)
2500cm - (Pi)(625cm)

Using Pi = 3.14

2500cm - 1962.5 = 537.5 cm

The area of the inner shape is about 537.5 cm