Topic 6 0.0 / 5 ? MathematicsCirclesASEdexcel Created by: Jemma1494Created on: 03-06-21 20:07 Midpoint of a line Midpoint = (x1+x2)/2 , (y1+y2)/2 1 of 9 Perpendicular bisector Passes through a line at a right angle with a negative reciprocal gradient 2 of 9 Equation of a circle (x - a)^2 + (y - b)^2 = r^2 When (a,b) is the centre And r is the radius 3 of 9 Straight line intersects with circles One point of intersect = tangent Two intersect points Zero intersect points 4 of 9 Finding intersect points Use simultaneous equations to find where the equitations are equal 5 of 9 Tangent rules Tangent to a circle is perpendicular to the radius Use perpendicular bisector rules to fin equation for tangent 6 of 9 Chord rules The perpendicular bisector of a chord will go through the centre of the circle 7 of 9 Right angled triangles inside circles The hypotenuse of the triangle is the diameter of the circle The angle of a triangle in a semi circle is 90 8 of 9 Chords and bisectors The point of intersection of the perpendicular bisectors of two chords is the centre of the circle 9 of 9
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