A. To solve for the area of square, find its side from the given perimeter.
Perimeter of square = 4s where s = side
156 cm = 4s
156 cm = 4s
4 4
side = 39 cm
Area of square = (side)²
Area = (39 cm)²
Area of the square = 1,521 sq. cm
B. To solve for the area of the circle, find its radius from the given perimeter.
Perimeter of a circle = 2(π)(r) where: π = pi or 3.14 r = radius
156 cm = 2 (3.14) (r)
156 cm = 6.28 r
156 cm = 6.28 r
6.26 6.28
r ≈ 24.84 cm
Area of Circle = (π)(r)²
Area = (3.14) (24.84 cm)²
Area = (3.14) (617.03 cm²)
Area of the circle = 1,937.47 sq cm.
The difference between the areas of circle and square:
1,937.47 sq. cm - 1,521 sq. cm = 416.47 sq cm.
Final Answer: The difference in their areas is 416.47 sq. cm.
