Mathematics · Geometry

Let R and r be the circumradius and inradius of a triangle respectively. The distance between its circumcenter and incenter is given by:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1√(R2 - r2)
2√(r2 - 2Rr)
3√(R2 - 2Rr)✓
4√(R2 + 2Rr)

Correct answer

√(R2 - 2Rr)

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Let R and r be the circumradius and inradius of a triangle respectively. The distance between its circumcenter and incenter is given by:

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Let R and r be the circumradius and inradius of a triangle respectively. The distance between its circumcenter and incenter is given by:

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