Semicircle Calculator

Semicircle with radius 5: Area = pi x 5^2 / 2 = 39.2699 Arc Length = pi x 5 = 15.7080 Diameter = 10 Perimeter = 15.7080 + 10 = 25.7080 Equation: y = sqrt(25 - x^2), -5 <= x <= 5

A semicircle is a fascinating geometric shape, defined simply as one half of a full circle. It is formed by cutting a circle along its diameter, resulting in a shape with a straight edge and a curved arc. The straight edge of a semicircle is its diameter, which passes through the center point and connects two points on the arc. The curved part is known as the arc length, representing half of the original circle's circumference. Understanding a semicircle's properties is fundamental in geometry. Its area is precisely half the area of the full circle from which it originated, calculated using the radius. The perimeter, however, requires careful consideration; it is not just half the circumference. Instead, the perimeter includes both the curved arc, which is half the circumference, and the straight diametral edge. This combination makes its perimeter formula unique and distinguishes it from just half a circle's boundary. Semicircles frequently appear in architecture for arches and windows, in design, and in various engineering applications.