the diagram shows a square xyrz of side 15m with an inscribed circle centre o.calculate the area of the square, circle and the shaded region
To calculate the area of the square, we need to find the length of its sides. In this case, it is given that the side of the square is 15 meters.
The formula for calculating the area of a square is:
Area of a square = (side length)²
So, substituting the side length of 15 meters into the formula:
Area of the square = (15m)² = 225 square meters.
To calculate the area of the inscribed circle, we need to find the radius. In an inscribed circle, the radius is equal to half of the side length of the square.
Radius = (side length) / 2
Substituting the side length of 15 meters into the formula:
Radius = 15m / 2 = 7.5 meters.
The formula for calculating the area of a circle is:
Area of a circle = π * (radius)²
Substituting the radius of 7.5 meters into the formula:
Area of the circle = 3.14 * (7.5m)² = 176.625 square meters (approx).
Now let's calculate the shaded region. The shaded region is the difference between the area of the square and the area of the circle.
Shaded region = Area of the square - Area of the circle
Shaded region = 225 square meters - 176.625 square meters = 48.375 square meters (approx).
Therefore, the area of the square is 225 square meters, the area of the circle is approximately 176.625 square meters, and the area of the shaded region is approximately 48.375 square meters.