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


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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?
x2 + y2 = 1
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
Unit Circle Calculator Video

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