Circle with Centre (0,0) (Leaving Cert Mathematics): Quizzes

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Circle with Centre (0,0)
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What is a circle defined as?

Points at fixed distance from centre

What is the equation of a circle with centre at (0,0)(0, 0) and radius rr?

x2+y2=r2x^2 + y^2 = r^2

In the equation x2+y2=r2x^2 + y^2 = r^2, what does rr represent?

Radius of the circle

How is the diameter of a circle related to its radius rr?

Diameter is 2r2r

What is the formula for the circumference of a circle?

C=2πrC = 2\pi r

What is the formula for the area of a circle?

A=πr2A = \pi r^2

How do you verify if a point lies on a circle?

Substitute into equation; if true, on circle

What is the radius of the circle with equation x2+y2=49x^2 + y^2 = 49?

r=7r = 7

Does the point (3,4)(3, 4) lie on the circle x2+y2=25x^2 + y^2 = 25?

Yes, it lies on the circle

In the equation x2+y2=r2x^2 + y^2 = r^2, what does (x,y)(x, y) represent?

Coordinates of any point on circle

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