# How Much Power Do Stars Emit Per Square Meter on Their Surface?

## What formula can be used to calculate the power each star emits per square meter on its surface?

To calculate the power each star emits per square meter on its surface, we use the Stefan-Boltzmann law formula.

## What are the known values for Rigel and Betelgeuse?

Rigel has a temperature of 11,000 K, while Betelgeuse information is missing in the given data.

## What is the surface area of the Sun?

The surface area of the Sun is 6.96 x 10^8 square meters.

## Answer:

The formula used to calculate the power each star emits per square meter on its surface is the Stefan-Boltzmann law formula.

## Calculations:

For Rigel:

Assuming a hypothetical surface area of 70 million square meters, the power emitted by Rigel per square meter on its surface can be calculated using the formula:

**Power (Rigel) = 5.67 x 10^-8 * 70,000,000 * (11,000)^4**

For Betelgeuse and the Sun, the calculations are pending due to missing information for Betelgeuse temperature and surface area.

The Stefan-Boltzmann law formula is: Power (P) = Stefan-Boltzmann constant (σ) * Surface Area (A) * Temperature (T)^4, where the Stefan-Boltzmann constant is 5.67 x 10^-8 W/m^2/K^4.

For Rigel, with a known temperature of 11,000 K and a hypothetical surface area of 70 million square meters, the power emitted per square meter on its surface can be computed.

However, without the information on Betelgeuse's temperature and surface area, the calculation for Betelgeuse remains incomplete. Similarly, the power emitted by the Sun per square meter on its surface needs additional data to determine accurately.

It is essential to have precise values for temperature and surface area of each star to calculate the power they emit per square meter accurately. Using hypothetical values can provide estimates but may not reflect the actual values accurately.