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

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

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

How do you find the center of a circle in standard form?

Center is (h,k)(h, k) from the standard form.

What does rr represent in the circle equation?

rr represents the radius of the circle.

Find the center of (x3)2+(y+2)2=16(x - 3)^2 + (y + 2)^2 = 16.

Center is (3,2)(3, -2).

Calculate the radius for (x3)2+(y+2)2=16(x - 3)^2 + (y + 2)^2 = 16.

Radius is 44.

What is the general form of a circle's equation?

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

What is the first step in using the general form?

Group the xx-terms and yy-terms.

How do you complete the square for x2+4xx^2 + 4x?

Add and subtract 44.

State the center from (x+2)2+(y3)2=25(x + 2)^2 + (y - 3)^2 = 25.

Center is (2,3)(-2, 3).

What is the radius of (x+2)2+(y3)2=25(x + 2)^2 + (y - 3)^2 = 25?

Radius is 55.

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