How to find the equation for the of the top half of a circle with radius 3?
Erica Lin
Answered question
2023-02-02
Answer & Explanation
Gazzuolabps
Beginner2023-02-03Added 10 answers
describes a circle of radius centred at the origin.
If we attempt to solve for , then we can proceed as follows:
Subtract from both sides to get:
Find: by taking the square root of both sides.
Note that this gives us two values for as we might expect - one value above the axis and the other below.
Since we are only interested in the upper half, we can select the non-negative square root to get the equation:
graph{sqrt(9-x^2) [-10, 10, -5, 5]}
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