The formula to calculate the Swing Circle Radius (R) is:
\[ R = \sqrt{L^2 - D^2} \]
Where:
Let's say the Anchor Line Length (L) is 50 meters and the Water Depth (D) is 30 meters. Using the formula:
\[ R = \sqrt{50^2 - 30^2} \]
We get:
\[ R \approx 40 \text{ meters} \]
So, the Swing Circle Radius is approximately 40 meters.
Definition: The circumference of a circle is the distance around the circle.
Formula: \( C = 2\pi r \)
Example: \( C = 2\pi \times 5 \)
Definition: The area of a circle is the space contained within its circumference.
Formula: \( A = \pi r^2 \)
Example: \( A = \pi \times 4^2 \)
Definition: The angle of a circle arc is the measure of the angle subtended by the arc at the center of the circle.
Formula: \( \theta = \frac{s}{r} \)
Example: \( \theta = \frac{10}{5} \)
Definition: Angle relationships in circles involve calculating angles formed by chords, tangents, and secants.
Formula: \( \text{Angle} = \frac{1}{2} (\text{Arc 1} + \text{Arc 2}) \)
Example: \( \text{Angle} = \frac{1}{2} (30 + 40) \)
