Circles

Things that you should now about Geometry

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Circles

Here are few terms and theroms on circles

Radius- is half the diameter

Diameter- is a line that goes through the circle from one end to another

Circumfrence- Is the area of the circle

Tangent- is a line that touches the circle ONLY at one point

Point of Tangency- Is the point where the tanget touches

Secant- A secant is a straight line cutting at two distinct point

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A straight line drawn from the centre of a Circle to bisect a chord which is not a diameter, is at right angles to the Chord. (theorem a)

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There is only one circle which passes through three given points which are not in a straight line. (theorem b)
Equal chords of a circle are equidistant from the centre and visa versa. (theorem c)

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The tangent to a circle and the radius through the point of contact are perpendicular to each other. (theorem d)

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The Angle which an arc of a circle subtends at the centre is double that which it subtends at any point on the remaining part of the circumference. (theorem e)

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Angles in the same segment of a circle are equal (theorem f)

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The angle in a semicircle is a right angle. (theorem g)

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The opposite angles of any quadrilateral inscribed in a circle are Supplementary. (theorem h)

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If a straight line touches a circle and from the point of contact a chord is drawn, the angles which this tangent makes with the chord are equal to the angles in the alternate segment. (theorem i)

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