unit circle (3,y) MathCelebrity logo Image to Crop

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?

areaNumber of square units covering the shapecirclethe set of all points in the plane that are a fixed distance from a fixed pointequationa statement declaring two mathematical expressions are equaloriginOn a two digit coordinate plane, the point (0, 0), where the x-axis and y-axis cross.pointan exact location in the space, and has no length, width, or thicknessradiusDistance from the center of a circle to the edge
C/2πunit circleA 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 Play

Tags:

Add This Calculator To Your Website

ncG1vNJzZmivp6x7rq3ToZqepJWXv6rA2GeaqKVfqruqwIycoKubnJp6pK3LnKylmaSkv2%2B8x6l2p62dcsKvtdNeaWmbmaewrbGEa2dha1VnkLp1hamjdo2ensFuj8irmqWdXXiura%2FUpZitp6I%3D