Half Circle Equation Math

A semicircle is a half circle.

Half circle equation math. Y r2 x h 2 k. The equation for a circle is x a 2 y b 2 r 2 where a b is the center of the circle and r is the radius. In rectangular coordinates the equation of the upper half of a circle can be written. You might think that means it will have half the perimeter of a circle but that is not true.

See area of a circle. Ii centre 1 5 and radius 9. So the answer is. X 2 y 2 2x 10y 55 0 is the general equation of a circle.

Remove one half of the circle along that diameter. Given general equation of a circle is x 2 y 2 2x 4y 11 0 find the centre and the radius. You have a semicircle half of a circle. The arc length of the semicircle can be thought of as half the circumference of the circle.

R a and α θ α π where a and α are constants for the chosen half circle. X 2 y 2 2x 10y 26 81. So the formula for the area of a semicircle is. X 1 2 y 5 2 9 2.

X 2 y 2 36. The area of a semicircle is half the area area of the circle from which it is made. Start with what you know. Knowing the semicircle definition half of a circle we can easily write the semicircle area formula using the well known circle area πr.

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. Recall that the area of a circle is πr 2 where r is the radius. For half circle the range for θ is restricted to π. That means a semicircle will have half of the area of a circle.

In your case a 0 b 0 and r 7 you add an additional restriction however that you only want the bottom half.