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

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Finding the Centre & Radius
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What is the standard form of a circle equation?

(x−h)2+(y−k)2=r2(x - h)^2 + (y - k)^2 = r^2

Find the center of (x−3)2+(y+2)2=16(x - 3)^2 + (y + 2)^2 = 16

(3,−2)(3, -2)

Find the radius of (x−3)2+(y+2)2=16(x - 3)^2 + (y + 2)^2 = 16

44

What is the general form of a circle equation?

x2+y2+Dx+Ey+F=0x^2 + y^2 + Dx + Ey + F = 0

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

44

Complete the square for y2−6yy^2 - 6y. What is the result?

(y−3)2−9(y - 3)^2 - 9

Convert x2+y2+4x−6y−12=0x^2 + y^2 + 4x - 6y - 12 = 0 to standard form.

(x+2)2+(y−3)2=25(x + 2)^2 + (y - 3)^2 = 25

Find the center of x2+y2+4x−6y−12=0x^2 + y^2 + 4x - 6y - 12 = 0

(−2,3)(-2, 3)

Find the radius of x2+y2−6x+8y+9=0x^2 + y^2 - 6x + 8y + 9 = 0

44

Find the center of x2+y2−6x+8y+9=0x^2 + y^2 - 6x + 8y + 9 = 0

(3,−4)(3, -4)

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