Step 1: recognize the geometry as a 6 m square and 1/4 of a circle of radius 6 m.
Step 2: recall the formula for the area of a square is
A = s²
so the area of the square portion of the geometry is
A = (6 m)² = 36 m²
Step 3: recall the formula for the area of a circle is
A = πr²
so the area of the 1/4 circle will be
A = (1/4)*π*(6 m)² = 9π m²
Step 4: add the areas of the parts to find the area of the whole.
whole area = (36 m²) +(9π m²)
whole area = (36 +9π) m²
whole area ≈ 64.2743 m²
