The area (A) of the circle with radius r is: A = π · r² The area of the quarter of the circle is: A1 = 1/4A = 1/4 · π · r²
We have: A1 = ? r = ? π = 3.14 d = 4 m
A diameter d is the twice of the radius r: d = 2r. Therefore, the radius is the half of the diameter: r = d/2 So, the area of the quarter circle would be: A1 = 1/4 · π · r² = 1/4 · π · (d/2)² =1/4 · π · d²/2² = 1/4 · π · d²/4 = 1/16 · π · d²