Equation Of Half Circle Math

Circle on a graph. There are an infinite number of those points here are some examples. Given general equation of a circle is x 2 y 2 2x 4y 11 0 find the centre and the radius.

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A semicircle is a half circle formed by cutting a whole circle along a diameter line as shown above.

Equation of half circle math. A semicircle is a half circle. Standard equation of a circle. Area of a semicircle. Any diameter of a circle cuts it into two equal semicircles.

Complete square in general form to solve this equation x 2 2x 1 y 2 4y 4 1 4 11 0. The area of a semicircle is always expressed in square units based on the units used for the radius of a circle. The formula for the area a of a circle is built around its radius. General equation of a circle.

We can write an equation of a circle in a coordinate plane if we know its radius and the coordinates of its center. Let us put a circle of radius 5 on a graph. A line that is drawn straight through the midpoint of a circle and that has its end points on the circle border is called the diameter d half of the diameter or the distance from the midpoint to the circle border is called the radius of the circle r. An alternative definition is that it is an open arc.

Now let s work out exactly where all the points are. The area of a semicircle is half the area area of the circle from which it is made. The arc length of the semicircle can be thought of as half the circumference of the circle. The distance around a circle on the other hand is called the circumference c.

We make a right angled triangle. Area of a semicircle formula. Standard equation of a circle. 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 in the article below we provide the semicircle definition and explain how to find the perimeter and area of a semicircle.

Suppose the radius of a circle is r and the center is h k. Let x y be any point on the circle. Since the circumference of a circle is c πd or c 2πr where c is the circumference d is the diameter and r is the radius dividing these equations by 2 gives us the equations for the arc length of the semicircle. And then use pythagoras.

X 2 y 2 5 2. See note at end of page. 20 math tutors are available to help.