Given a unit circle with coordinates (3, y),
calculate y
Unit Circle Formula
Given a unit circle point (x, y)
x2 + y2 = 1
Plug in x = 3 and y = y
32 + y2 = 1
9 + y2 = 1
Subtract 9 from each side:
y2 = 1 - 9
y2 = -8
Take the square root of each side:
√y2 = √-8
Final Answer
Since -8 is less than 0
(3, y) is not on the unit circle
What is the Answer?
Since -8 is less than 0
(3, y) is not on the unit circle
How does the Unit Circle Calculator work?
Free Unit Circle Calculator - Determines if coordinates for a unit circle are valid, or calculates a variable for unit circle coordinates
This calculator has 1 input.
What 1 formula is used for the Unit Circle Calculator?
What 7 concepts are covered in the Unit Circle Calculator?
- area
- Number of square units covering the shape
- circle
- the set of all points in the plane that are a fixed distance from a fixed point
- equation
- a statement declaring two mathematical expressions are equal
- origin
- On a two digit coordinate plane, the point (0, 0), where the x-axis and y-axis cross.
- point
- an exact location in the space, and has no length, width, or thickness
- radius
- Distance from the center of a circle to the edge
C/2π - unit circle
- A circle centered at the origin (0, 0) with a radius of 1
x2 + y2 = 1
Example calculations for the Unit Circle Calculator