Semicircle
an arc of a circle whose endpoints are the endpoints of a diameter
A semicircle is a two-dimensional figure that is defined as half a circle. It is formed when a circle is divided into two equal parts, with one of the parts removed. The diameter of a semicircle is the length of a straight line that passes through the center of the circle and connects two points on the circumference of the circle.
Properties of a semicircle:
1. It has only one line of symmetry, which is the diameter.
2. The perimeter of a semicircle is known as the semicircumference and can be calculated using the formula: semicircumference = (π × diameter)/2.
3. The area of a semicircle can be calculated using the formula: area = (π × radius^2)/2.
4. The sum of the angles in a semicircle is 180 degrees.
5. Any chord of a semicircle is a diameter if and only if it is perpendicular to the diameter.
Applications of a semicircle:
1. In architecture and construction, semicircular arches and doors are used to create an aesthetically pleasing appearance.
2. In engineering and physics, semicircular channels are used to guide fluid flow.
3. In mathematics, semicircles are commonly used in geometry and trigonometry to solve problems involving circles and angles.
4. In sports, semicircular lines are used to mark out play areas such as tennis courts and basketball courts.
In conclusion, a semicircle is a fundamental geometric shape that has various applications in different fields of study.
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