Equation of a circle (AQA GCSE Further Maths): Quizzes

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Equation of a circle
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What is the equation of a circle with centre at the origin and radius rr?

x2+y2=r2x^2 + y^2 = r^2

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 the circle x2+(y−2)2=49x^2 + (y - 2)^2 = 49?

77

In expanded form x2+y2−2ax−2by+c=0x^2 + y^2 - 2ax - 2by + c = 0, what are the coefficients of x2x^2 and y2y^2?

Both equal to 1

What is the angle in a semicircle according to Thales' Theorem?

90°90°

What is the angle between a tangent and the radius at the point of contact?

90°90°

What does a perpendicular from the centre to a chord do to the chord?

Bisects it

Two tangents drawn from an external point to a circle have what property?

Equal length

If a radius has gradient mm, what is the gradient of the tangent at the point of contact?

−1m-\frac{1}{m}

Which term is NOT present in the expanded form of a circle equation?

xyxy term

What method converts x2+y2+4x−6y−3=0x^2 + y^2 + 4x - 6y - 3 = 0 to standard form?

Completing the square

What is the standard form of a circle with centre (a,b)(a, b) and radius rr?

(x−a)2+(y−b)2=r2(x - a)^2 + (y - b)^2 = r^2

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Coordinate geometry

Geometry I

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Coordinate geometry

Geometry I

Geometry II

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Coordinate geometry

Geometry I

Geometry II

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Coordinate geometry

Geometry I

Geometry II

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