Answer:
The length of the arc of the quadrant is 40.663 inches
Explanation:
The given parameters for the quadrant are;
The dimensions of the rectangle from which the quadrant is cut = 50 inches by 25.9 inches
Therefore, the length of the radius of the quadrant = The shortest side of the rectangle, r = 25.9 inches
Therefore, we have;
The length of the arc of the quadrant = 1/4 × 2 × π × r
Where;
π = 3.14
∴ The length of the arc of the quadrant = 1/4 × 2 × 3.14 × 25.9 = 40.663
The length of the arc of the quadrant = 40.663 inches.