SOLUTION: a chord of a circle has length 4.2 cm and is 8cm from the center f the circle. what is the radius of the circle to the nearest hundereth

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Question 307236: a chord of a circle has length 4.2 cm and is 8cm from the center f the circle. what is the radius of the circle to the nearest hundereth
Answer by mananth(16949) About Me  (Show Source):
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a chord of a circle has length 4.2 cm and is 8cm from the center f the circle. what is the radius of the circle to the nearest hundereth
THE VERTICAL DISTANCE FROM THE CENTER TO THE CHORD = 8CM
the chord is bisected by this line at right angle.
so half of the chord = 4 cms.
half the chord , the line meeting the chord from the center of the circle and the radius form a right triangle. Hypotenuse is the radius.
one leg = 4cm
the other leg = 8 cm.
hypotenuse^2 = 4^2+8^2
hypotenuse ^2 = 16+64
hypotenuse ^2 = 80
Hypotenuse = sqrt 80
radius = 8.94 cm