Circle with Centre (h,k) and Radius r (Leaving Cert Mathematics): Quizzes

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Circle with Centre (h,k) and Radius r
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What is the standard form equation of a circle with centre (h,k)(h, k) and radius rr?

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

What is the centre of the circle (x−5)2+(y−2)2=9(x - 5)^2 + (y - 2)^2 = 9?

(5,2)(5, 2)

What is the centre of the circle (x+3)2+(y−4)2=8(x + 3)^2 + (y - 4)^2 = 8?

(−3,4)(-3, 4)

What is the equation of the circle with centre (2,−3)(2, -3) and radius 55?

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

If r2=16r^2 = 16 in a circle equation, what is the radius rr?

r=4r = 4

What is the radius of the circle (x+3)2+(y−4)2=8(x + 3)^2 + (y - 4)^2 = 8?

222\sqrt{2}

A circle with centre (1,3)(1, 3) passes through (3,5)(3, 5). What is the radius?

222\sqrt{2}

In (x−h)2+(y−k)2=r2(x - h)^2 + (y - k)^2 = r^2, what does the right-hand side represent?

The radius squared

Circle centre (1,3)(1, 3) passes through (3,5)(3, 5). What is the equation?

(x−1)2+(y−3)2=8(x - 1)^2 + (y - 3)^2 = 8

What is the fundamental principle of a circle?

All points are equidistant from centre

In equation (x−2)2+(y+5)2=16(x - 2)^2 + (y + 5)^2 = 16, what is the yy-coordinate of the centre?

−5-5

What is the most common source of errors in circle problems?

Sign mistakes

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