The total grazing area available to the goat is equal to 1,805.5 square metres
The Norwegian goat can cover an area of a big semicircle with a diameter of 60 m and radius 30m below the red barn, and also a quadrant of a circle with radius 10m to the right of the red barn and another quadrant of a circle with radius 20m to the left side of the red barn.
Area of a circle = πr²
Area of semicircle = πr²/2
Area of a circle quadrant = πr²/4
Using π = 3.14
Area of semicircle below the red barn = [3.14 × (30m)²] ÷ 2 = 2,826 m²/2
Area of semicircle below the red barn = 1,413 m²
Area of a circle quadrant to the right of the red barn = [3.14 × (10m)²] ÷ 4 = 314/4
Area of a circle quadrant to the right of the red barn = 78.5 m²
Area of a circle quadrant to the left of the red barn = [3.14 × (20m)²] ÷ 4 = 1,256/4
Area of a circle quadrant to the left of the red barn = 314 m²
Total grazing area available to the goat is the sum of all three areas calculated above which is: 1,413 m² + 78.5 m² + 314 m² = 1,805.5 m²