Radius of a circle whose equation is [tex]x^{2} +y^{2} =36[/tex] is 6
What is an equation?
An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.
What is a circle?
- A closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre" is called a circle.
- The standard equation of the circle is: [tex]x^{2} +y^{2} = a ^{2}[/tex], where a is the radius of the circle.
How to find the radius of the given circle ?
- The given equation of the circle is : [tex]x^{2} +y^{2} =36[/tex]
Comparing the given equation with the standard equation, we can say,
a² = 36
⇒ a = ± 6
Since a is the radius, the negative value gets rejected.
The radius of the given circle is 6.
Find out more details on "Circles" here: https://brainly.com/question/24375372
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