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Naseela EReg No : 13303012Mathematics

DEFINITIONS

• A circle is the locus of all points which are equidistant from a central point

• A radius of a circle is a line segment extending from the center to the circle

• A diameter is a line segment that joins two points on the circle and passes through center

Radius

Diameter center

∙

CHORDS

A chord is any line segment that joins two points on a circle

Therefore , a diameter is an example of a chord.it is the longest possible chord

RESULT

Length of all chords at

equal distances from the

center of a circle are

equal

PROOF

A A C

B D join AO and COConsider ∆ AOM and ∆CONOA=OC(radius ,hypotenuse of the right angled triangle)OM=ON(given)Therefore , ∆AOM (RHS theorem)Therefore, AM=CN(CPCT)

M NO

 

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