If the diameter AD of a circle is 34 cm and the length of a chord AB is 30 cm.
What is the distance of AB from the centre?
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FINAL ANSWER:
the distance of AB from the centre is 8 cm
GIVEN:
AD = 34 cm
AX = BX = r = 17 cm
AB = 330 cm
AY = 15 cm
and
BY = 15 cm (look in figure)
CONSTRUCTION:
construct a perpendicular line XY from center X
TO FIND:
to find distance of AB from the center
FORMULA USED:
Pythagoras triplate
hypotenuse²=perpendicular²+base²
H²=P²+B²
SOLUTION:
in ΔAXY
AX²=XY²+AX²
17²=XY²+15²
289=XY²+225
XY²=289-225
XY²=64
XY=√64
XY= 8 cm
or
perpendicular =8cm
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