Answer:
area of the circle = 490.625 unit²
Step-by-step explanation:
The circle is inscribed into the square ABCD . The picture illustrate a circle inscribed in a square. All the sides of a square is equal. The angles are also equal.
area of a square = L²
area of the square = 625
625 = L²
square root both sides
L = √625
L = 25
The length of each sides of the square = 25
Area of the circle = πr²
where
r = 25/2 = 12.5
area = π × 12.5²
area = 156.25π
area = 156.25 × 3.14
area of the circle = 490.625 unit²
