<p><strong>Hint:</strong></p>

<p>There is an approximate <a href="https://en.wikipedia.org/wiki/Mass%E2%80%93luminosity_relation#Core_and_surface_temperatures" rel="nofollow noreferrer">relation between luminosity, radius and temperature for stars</a>:
<span class="math-container">$$
L = 4\pi R^2\sigma_B T_S^4
$$</span></p>

<p>Can you solve it from here?</p>

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2019-11-08T22:25:17.453Z
2019-11-08T22:25:17.453Z
Ertxiem - reinstate Monica
<p>This question has eluded me for days; I can't seem to solve it.</p>

<p>A certain star has a temperature twice that of the Sun and a luminosity 55 times greater than the solar value. What is its radius, in solar units?</p>

CC BY-SA 4.0
2019-11-08T22:26:48.090Z
I believe that you followed the recommendation to post [your question on Math.SE](https://math.stackexchange.com/q/3427757) here. May I suggest that you delete the other question?
Ertxiem - reinstate Monica
<temperature><luminosity>
Finding the solar radius from temperature and luminosity
liamwpope
# Finding the solar radius from temperature and luminosity

(Asked by: username_0 on 2019-11-08)

This question has eluded me for days; I can't seem to solve it.

A certain star has a temperature twice that of the Sun and a luminosity 55 times greater than the solar value. What is its radius, in solar units?

**Tags:** temperature, luminosity

> **Comments:**
> **username_1**: I believe that you followed the recommendation to post [your question on Math.SE](https://math.stackexchange.com/q/3427757) here. May I suggest that you delete the other question?  

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## 1 answers

### Answer by username_1 on 2019-11-08. Score: 1

**Hint:**

There is an approximate [relation between luminosity, radius and temperature for stars](https://en.wikipedia.org/wiki/Mass%E2%80%93luminosity_relation#Core_and_surface_temperatures):
$$
L = 4\pi R^2\sigma\_B T\_S^4
$$

Can you solve it from here?


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