Semi Circle
half of a circle
A semi-circle is a two-dimensional plane figure that is half of a circle. It is formed by a line segment that joins two points on a circle and a circular arc that connects the endpoints of the line segment, such that the Central Angle between the two endpoints is 180 degrees.
Properties of a Semi-Circle:
1. The diameter of the circle is the longest chord of the semi-circle, which is also twice the radius of the circle.
2. A tangent to a semi-circle at one endpoint of the diameter will always be perpendicular to the diameter, forming a right angle.
3. The perimeter of a semi-circle is equal to half of the circumference of a circle with the same radius.
4. The area of a semi-circle is equal to half of the area of a circle with the same radius.
5. The semi-circle has one axis of symmetry, i.e., the line that divides the semi-circle into two congruent halves.
Applications of Semi-Circles:
Semi-circles are often used in engineering, construction, and architecture to create arches, windows, and other curved structures. They are also commonly used in mathematics to study geometric shapes and calculate areas and perimeters. Additionally, semi-circles are used in sports, such as basketball and soccer, to designate the goal area.
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