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

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Circle with Centre (0,0)
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What are the coordinates of the origin where a circle with centre (0,0)(0,0) is positioned?

(0,0)(0,0)

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

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

Which theorem is used to derive the equation x2+y2=r2x^2 + y^2 = r^2?

Pythagoras' theorem

What is the equation of a circle with centre (0,0)(0,0) and radius 55?

x2+y2=25x^2 + y^2 = 25

What is the equation of a circle with centre (0,0)(0,0) and radius 32\frac{3}{2}?

x2+y2=94x^2 + y^2 = \frac{9}{4}

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

77

Find the radius of the circle 4x2+4y2=364x^2 + 4y^2 = 36.

33

What is the radius of circle x2+y2=18x^2 + y^2 = 18?

323\sqrt{2}

Find radius of circle with centre (0,0)(0,0) passing through point (3,4)(3,4).

55

What is equation of circle with centre (0,0)(0,0) containing point (2,−3)(2,-3)?

x2+y2=13x^2 + y^2 = 13

What must you do if the equation 9x2+9y2=259x^2 + 9y^2 = 25 is not in standard form?

Divide both sides by 9

What is always true about the centre of a circle with equation x2+y2=r2x^2 + y^2 = r^2?

It is at (0,0)(0,0)

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