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Two chords AB and AC of a circle are per...

Two chords AB and AC of a circle are perpendicular to each other. If AB =4 cm and AC =3 cm , then find the radius of the circle.

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AB and AC are perpendicular to each other `angle BAC=90^(@), :. Delta ABC` is a right- angled triangle of which BC is hypotetnuse.
`:. BC^(2)=AB^(2)+AC^(2)` [ by pythagors theorem] `=4^(2)+3^(2)=16+9=25`
`:. BC sqrt(25)=5`
Now, BC is one of the diamters of the circle.
`:.` radius of the circle `(5)/(2) cm = 2.5cm`
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