In geometry, a circle can be divided into four equal parts. Each of these four equal parts is called a quadrant. The central angle of a quadrant is exactly 90 degrees (a right angle). Calculating its area is very straightforward.
A quadrant is a 90-degree sector of a circle.
The perimeter (circumference curve) of a quadrant is $\frac{\pi r}{2}$.
The total perimeter of a quadrant piece (including the two straight radii) is $\frac{\pi r}{2} + 2r$.
Since a quadrant is exactly one-fourth (1/4) of a full circle, its area is simply the area of the circle divided by 4.
Where 'r' is the radius of the circle, and $\pi$ (pi) is approximately 22/7 or 3.14.
A quadrant is just a sector of a circle with a central angle ($\theta$) of $90^{\circ}$. The general formula for the area of a sector is:
Area = 1/4 × (22/7) × (7)² = 1/4 × 22 × 7 = 154 / 4 = 38.5 cm².
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