Equation of a Circle (AQA A-Level Mathematics): Quizzes

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Equation of a Circle
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What is the radius of the circle x2+y2=25x^2 + y^2 = 25?

2525

What is the centre of the circle (x+3)2+(y−5)2=16(x + 3)^2 + (y - 5)^2 = 16?

(3,−5)(3, -5)

What is the radius of (x−4)2+(y+2)2=49(x - 4)^2 + (y + 2)^2 = 49?

49\sqrt{49}

To convert x2+y2+6x−4y−4=0x^2 + y^2 + 6x - 4y - 4 = 0 to standard form, what technique is used?

Factorisation

What is the centre of x2+y2+6x−4y−4=0x^2 + y^2 + 6x - 4y - 4 = 0?

(3,−2)(3, -2)

Circle with centre (2,4)(2, 4) and radius 77 in general form is:

x2+y2+4x+8y+29=0x^2 + y^2 + 4x + 8y + 29 = 0

A circle has centre (4,−3)(4, -3) and passes through (10,3)(10, 3). What is the radius?

72\sqrt{72}

What is the radius of x2+y2+3x−2y+1=0x^2 + y^2 + 3x - 2y + 1 = 0?

0

To find where circle meets line y=3x+4y = 3x + 4, what is the first step?

Use quadratic formula

When 10x2+18x=010x^2 + 18x = 0 from circle-line intersection, what are the xx-values?

x=0,x=1.8x = 0, x = 1.8

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