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Function defined by a relation in the form f(x) = \(\sqrt{{r}^{2} – {x}^{2}}\) or f(x) = − \(\sqrt{{r}^{2} – {x}^{2}}\) where r. is the radius of a circle centered on the origin point.

The semi-circle function, also known as the half-circle function, is a mathematical function that represents a semi-circle graph. It is defined as a curve that has the shape of half of a circle. …

You can form this shape by taking a circle and cutting it into two halves, where each half has the same half of the area as that of the original circle. There are various parameters to express the …

On the interval $[-1,1]$ you can use the function $\sqrt{1-x^2}$. Using the Pythagorean theorem you can see that the graph of this function is the closed upper semicircle with radius 1 and …

A Semi-Circle is defined as half of the Circle or of its Circumference. Get the formulas of Area and Perimeter of Semi-circle with examples at BYJU'S.

Oct 4, 2024 · 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, …

Mar 5, 2025 · Half a circle. The area of a semicircle of radius r is given by A = int_0^rint_(-sqrt(r^2-x^2))^(sqrt(r^2-x^2))dxdy (1) = 2int_0^rsqrt(r^2-x^2)dx (2) = 1/2pir^2. (3) The weighted mean of …

Aug 28, 2010 · If you want quarter circle you have to use either + (for positive quarter) and - (for negative quarter) in the equation you mentioned. For getting half circle both + and - ve values …

Nov 2, 2015 · We can find the domain and range of this half circle by setting the value under the square-root greater than or equal to zero.

Area = p x (Radius) 2. This formula is derived from the area of a circle formula, which is p x (Radius) 2. Since a semicircle is half of a circle, the area formula for a semicircle is half of the …

Since a semicircle is half a circle, we can derive its area equation by dividing the equation for the area of a circle by 2: where A is the area and r is the radius of the semicircle.