Finding the Centre & Radius (AQA A-Level Mathematics): Quizzes

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Finding the Centre & Radius
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In the standard form (x−h)2+(y−k)2=r2(x - h)^2 + (y - k)^2 = r^2, what does (h,k)(h, k) represent?

The centre of the circle

In the standard form (x−h)2+(y−k)2=r2(x - h)^2 + (y - k)^2 = r^2, what does rr represent?

The radius of the circle

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

(3,−2)(3, -2)

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

44

Which form is x2+y2+Dx+Ey+F=0x^2 + y^2 + Dx + Ey + F = 0?

General form

When completing the square for x2+4xx^2 + 4x, what value should be added and subtracted?

44

What is the centre of (x+2)2+(y−3)2=25(x + 2)^2 + (y - 3)^2 = 25?

(−2,3)(-2, 3)

What is the radius of (x+2)2+(y−3)2=25(x + 2)^2 + (y - 3)^2 = 25?

55

What is the centre of x2+y2−6x+8y+9=0x^2 + y^2 - 6x + 8y + 9 = 0 after converting to standard form?

(3,−4)(3, -4)

When completing the square for y2−6yy^2 - 6y, what value should be added and subtracted?

99

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