What are the coordinates of the unit circle?
#1: Memorize Common Angles and Coordinates
| Angle (Degrees) | Angle (Radians) | Coordinates of Point on Circle |
|---|---|---|
| 0° / 360° | 0 / 2π | (1, 0) |
| 30° | π 6 | ( √ 3 2 , 1 2 ) |
| 45° | π 4 | ( √ 2 2 , √ 2 2 ) |
| 60° | π 3 | ( 1 2 , √ 3 2 ) |
Why is Pi 22 divided 7?
The Pi’s fractional value is 22/7. Since pi is an irrational number i.e digits after decimal point are never ending and is non terminating i.e 3.1415926 … and so on. That is why 22/7 is used for calculations.
What is the coordinate geometry of a circle?
7: THE COORDINATE GEOMETRY OF THE CIRCLE The equation of a circle The equation of a circle can be expressed in different forms. To define a circle on the coordinate plane, we must know the coordinates of the centre and the length of the radius. Equation of a circle, centre origin (0, 0)
What is the equation of a circle?
The equation of a circle is a rule satisfied by the coordinates (“,$) of any point that lies on the circumference. Points that do not lie on the circle will not satisfy the equation.
How do you find the radius of a circle?
A circle can be defined as the locus of all points that satisfy the equation. x 2 + y 2 = r 2. where x,y are the coordinates of each point and r is the radius of the circle. In its simplest form, the equation of a circle is What this means is that for any point on the circle, the above equation will be true, and for all other points it will not.
How do you find the path of a standard circle?
Any point (x,y) on the path of the circle is x = rsin(θ), y = rcos(θ). The standard circle is drawn with the 0 degree starting point at the intersection of the circle and the x-axis with a positive angle going in the counter-clockwise direction. In your drawing you have a different scenario.