In mathematics (and more specifically geometry), a semicircle is a one-dimensional locus of points that forms half of a circle. It is a circular arc that measures 180° (equivalently, π radians, or a half-turn). It only has one line of symmetry (reflection symmetry).

2023年8月3日 · Semicircle being half a circle, its arc always measures (360°/2 = 180°) and thus is referred to as a half-disc. It has only one line symmetry, the reflection symmetry. The area of a semicircle is the space enclosed by the semicircle. Since a semicircle is exactly half a circle, its formula can be obtained by dividing the area of a circle by 2.

If the length of an arc is exactly half of the circle, it is known as a semicircular arc. In Euclidean geometry, the arc is symbolized by ‘⌒’ or ‘⌢’. The arc in the above figure is called arc AB or BA since the order of points doesn’t matter.

Half a portion of any circle is known as a semicircle and is formed by cutting a whole circle along the diameter. Various parameters related to a semi-circle can be calculated using semicircle formulas. Understand the semicircle formulas with derivation, examples, and FAQs.

To answer your first question - why the centroids of a half-disk and half-arc are different, imagine their physical manifestations: both are objects having the same mass. The former is a half-disk of material that is evenly distributed throughout. The latter is also a half-disk, but it has all of its mass concentrated at the edge.

With this semicircle area calculator, you can quickly find the area of half of a circle 🌗. What is more, the tool also doubles as a semicircle perimeter calculator, so inputting radius or diameter will help you find the basic features of the shape in the blink of an eye.

Definition of a Semicircle: When an arc of a circle with its endpoints on the diameter cuts a circle into two equal halves, those halves are called semicircles. It is the most common shape we find in real life, for example, the shape of the protractor, speedometer, taco, and so on.

2024年10月4日 · Semicircle is a half circle formed by cutting the circle into two halves. It is a circular arc that measures 180°, or π radians, or a half-turn. Learn about semicircles in detail here, including its shape, properties, formulas for Circumference and Area, and solved examples.

An alternative definition of a semicircle is that it is simply an arc - a curved line that is half the circumference of a circle, without the straight line linking its ends. This means it is not a closed figure, and so: Has no area; Has no perimeter. Its length is the length of the arc, or πR.

A semicircle is half of a circle. It resembles a round paper plate folded in half. An arc on a circle that has endpoints that lie on a diameter of the circle is a semicircle.