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The formula for the area of a segment corresponding to a minor arc

A minor arc refers to a circular arc whose corresponding central angle is less than 180 degrees. The formula for the area of the segment corresponding to a minor arc can be calculated by subtracting areas.

 

The formula for the area of a segment corresponding to a minor arc is S = (nπR^2/360) – (ah/2), where n represents the degree of the central angle, R is the radius of the circle, a is the length of the minor arc, and h is the height of the segment.

Let’s say you want to calculate the area of a segment corresponding to a minor arc in a circular flowerbed. Given the degree of the central angle n, the radius of the circle R, the length of the minor arc a, and the height of the segment h, you can use the formula S = (nπR^2/360) – (ah/2) to calculate it. For example, if n = 60, R = 5, a = 3, and h = 4, then S = (60π5^2/360) – (34/2) = 13.09 square meters.

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