Answer:
Area of Figure; 3.24π + 21.6 ( square meters ),
Perimeter of Figure; 3.6π + 12 ( meters )
Explanation:
As we can see, this picture consists of half circles and a rectangle. If we were to combine each of these half circles, we would get a whole circle with a radius of 1.8 meters;
Area of Circle; πr^2 = π * ( 1.8 )^2 = 3.24π ( square meters ),
If 1.8 is known to be the radius of this full circle, it would be that the diameter is 1.8 * 2 ⇒ 3.6. Knowing that the diameter is one dimension of a rectangle in the picture, we can assume the area of the rectangle to be;
Area of Rectangle; length * width = 6 * 3.6 = 21.6 ( square meters ),
Area of Figure; 3.24π + 21.6 ( square meters )
Now to determine the circumference of these two half circles / whole circle, let us apply the formula 2πr;
Perimeter of Circle; 2πr = 2π * 1.8 = 3.6π
To find the perimeter of the whole figure, we would take the lengths of two of the sides of the rectangles, in addition to the perimeter of the whole circle;
Perimeter of Whole Figure; 3.6π + 6 * 2 = 3.6π + 12 ( meters ),
Perimeter of Whole Figure; 3.6π + 12 ( meters )