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Circle Tangent Length from Radius and External Clearance Calculator

Circle Tangent Length from Radius and External Clearance. Example: Radius: 3 m, Clearance: 2 m gives 4 m. Real bounded inputs with supplied units; numerical selected result only. Original useful product scope; historical catalog title does not grant missing modes or source parity.

YOUR INPUTS Live calculation

Real bounded inputs with supplied units; numerical selected result only. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Right triangle formed by radius and tangent gives t²=(r+q)²-r²; factored form avoids cancellation.

Accepted inputs: Radius: 0.1 to 1,000 m; Clearance: 0.1 to 1,000 m.

Example values. Enter your own inputs.

Circle Tangent Length from Radius and External Clearance

4m

How the calculation works

t=√(q(2r+q)); center distance=r+q

Worked example

With radius 3 m, clearance 2 m, circle tangent length from radius and external clearance is 4 m.

Assumptions and limits

Real bounded inputs with supplied units; numerical selected result only. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Right triangle formed by radius and tangent gives t²=(r+q)²-r²; factored form avoids cancellation.

Circle Tangent Length from Radius and External Clearance4 m
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