The formula to calculate the Schwarzschild Radius (R) is:
\[ R = \frac{2GM}{c^2} \]
Where:
Let's say the mass of the black hole (\( M \)) is 10 solar masses. Using the formula:
\[ R = \frac{2 \cdot 6.67430 \times 10^{-11} \cdot (10 \cdot 1.98847 \times 10^{30})}{(299792458)^2} \]
We get:
\[ R \approx 29.53 \text{ kilometers} \]
So, the Schwarzschild Radius (\( R \)) is approximately 29.53 kilometers.
The Schwarzschild radius, also known as the black hole radius, is the distance from the center of a black hole to its event horizon, the point beyond which nothing, not even light, can escape its gravitational pull. It is a critical measure in astrophysics for understanding the size and boundary of a black hole.