The area of the circle is 78.5 cm². The area of the shaded region is 21.5 cm².
What is the area of a circle inscribed in a square?
The area of a circle inscribed in a square can be determined by finding the area of the circle and the area of the shaded region can be deduced by subtracting it from the area of the square.
The diameter of the circle is equal to the length of the outer square. The diameter = 10/2 cm = 5cm. Therefore, the area of the circle can be calculated as:
Area of the circle = πr²
Area of the circle = π × (5cm)²
Area of the circle = 25π cm²
Area of the circle = 78.5 cm²
Area of the square = l²
Area of the square = (10 cm)²
Area of the square = 100 cm²
Area of the shaded region = 100 cm² - 78.5 cm²
Area of the shaded region = 21.5 cm²