(X −3)2 + (Y +2)2 = 9.
Where (h,k) is the center and r is the radius of the circle. C = (3, 2), r = 1. Now imagine we have an equation in general form:.
(X −H)2 + (Y −K)2 = R2.
Now since sin 2θ+cos 2θ=1, substitute the values from equations (1) and (2): Standard form of the circle is. Going from general form to standard form.
Use This Form To Determine The Center And Radius Of The Circle.
This is the form of a circle. An eqn of a circle is given by. The standard form of the equation for a circle is given by:
X 2 +Y 2 =81.
This is the form of a circle. In this problem, we are not given the center or radius however we can find the length of the diameter using the distance formula (phythagoras) and then divide it by 2. What is the radius of a circle in the equation x ^ 2 + y ^ 2 = 25 2.
∴ The Parametric Representation Of The Circle Is.
The general equation of circle with centre (h,k). Any point on the circle is given by (3 + cos θ, 2 + sin θ) let n= (3 + cos θ 1 , 2 + sin θ 1 ) given ∠ m c n = 3 0. Sin 2θ+cos 2θ=1 ⇒( 3x−2)2+( 3y+1)2=1 ⇒(x−2) 2+(y+1) 2=(3) 2.