Answer:
C = [tex]200\pi[/tex]
Step-by-step explanation:
C = [tex]2 \pi r[/tex], where r - radius
Since the equation of the circle is:
[tex]x^2 + y^2 = 100[/tex]
The radius is 100.
C = [tex]200\pi[/tex]
The circumference of the circle is 20π unit.
What is circumference of a circle?
Circumference of a circle is the perimeter of it. If a circle has a radius of r, then it's perimeter is 2πr.
The standard equation of a circle with center at origin is x² + y² = a²
Here, a = radius of the circle.
Now, if we compare the given equation x² + y² = 100 with the standard equation, we will get the radius of the circle: a = 10 unit.
Therefore, circumference of the circle = 2πa = 2 × π × 10 unit = 20π unit.
Learn more about the circumference of a circle here: https://brainly.com/question/15957685
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