An apparatus, medium, and method for measuring body fat. The apparatus may include a current generating unit generating a current having a predetermined range of variable frequency and applying the current to a desired area in a human body to be measured, a detector unit detecting a voltage generated from the desired area in response to the current having a variable frequency and detecting a frequency value at which impedance of the desired area is changed based on relation between the detected voltage and the variable frequency, and a body fat calculating unit calculating body fat thickness based on the detected frequency value. It is possible to measure body fat thickness in any part of a human body by applying a variable frequency current to a desired area. Therefore, health and fatness management can be accomplished for each part of a human body.