To calculate the radius of the circle:
\[ R = \frac{H}{2} + \frac{C^2}{8H} \]
Where:
A chord is a straight line segment whose endpoints both lie on the circumference of a circle. The chord length is the distance between these two points. The arc height (also known as the sagitta) is the perpendicular distance from the midpoint of the chord to the arc of the circle. By using these measurements, the radius of the circle can be determined. The radius is the distance from the center of the circle to any point on its circumference.
Let's assume the following values:
Using the formula:
\[ R = \frac{3}{2} + \frac{10^2}{8 \times 3} = 1.5 + \frac{100}{24} \approx 1.5 + 4.17 = 5.67 \text{ units} \]
The radius of the circle is approximately 5.67 units.
Let's assume the following values:
Using the formula:
\[ R = \frac{2}{2} + \frac{8^2}{8 \times 2} = 1 + \frac{64}{16} = 1 + 4 = 5 \text{ units} \]
The radius of the circle is 5 units.