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Target Heart Rate (Karvonen)

Training heart rate at a given intensity.

Formula

THR=(HRmax−HRrest)×I+HRrestTHR = (HR_{max} - HR_{rest})\times I + HR_{rest}

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Variables

HR_{max}Max heart rate
HR_{rest}Resting
IIntensity

Example

Personalized training zone

How it works

This formula estimates the exercise heart rate needed to train at a chosen effort level using heart rate reserve, which is the gap between your maximum and resting heart rates. It works better than using a simple percentage of maximum heart rate because it accounts for individual differences in resting fitness level, so two people with the same max heart rate but different resting rates can train at different target zones. The intensity factor I is usually written as a decimal, so 60% intensity is 0.60.

When to use it

Use this when prescribing or tracking cardio intensity in running, cycling, rowing, rehabilitation, or sports conditioning. It is especially useful when you want a more personalized training zone than age-based heart-rate formulas provide.

Worked example, step by step

Suppose an athlete has HR_max = 190 bpm and HR_rest = 58 bpm, and wants to train at I = 0.75. Step 1: Find heart rate reserve: 190 - 58 = 132 bpm Step 2: Apply the intensity: 132 × 0.75 = 99 bpm Step 3: Add resting heart rate: 99 + 58 = 157 bpm THR = 157 bpm

Common mistakes to avoid

  • Using I as 75 instead of 0.75
  • Subtracting resting heart rate after multiplying instead of adding it back
  • Using an inaccurate max heart rate estimate without checking that it matches the athlete

Did You Know?

The Karvonen method personalises target heart rate by factoring in your resting pulse.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026