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## Homework Statement

I want to know the expression for the round metric of an n-sphere of radius r

## Homework Equations

I have obtained this for a 3-sphere

dS^{2}=dr^{2}+r^{2}(d\theta_{1}^{2}+sin^{2}\theta_{1}d\theta_{2}^{2}

+sin^{2}\theta_{1}sin^{2}\theta_{2}d\theta_{3}^{2})

## The Attempt at a Solution

what will be the general expression for an n -sphere