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31 Jan 2016, 07:45
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
73% (01:29) correct
27%
(01:51)
wrong
based on 110
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If a 32-inch chord is drawn in a circle of radius 20 inches, how far is the chord from the center of the circle?
A. 4 inches
B. 6 inches
C. 8 inches
D. 10 inches
E. 12 inches
A. 4 inches
B. 6 inches
C. 8 inches
D. 10 inches
E. 12 inches
31 Jan 2016, 13:14
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OA=OC = 20 = Radius
AC= Length of chord = 32
OB = Distance of chord from center of circle.
In a circle, the perpendicular bisector of a chord passes through the center of the circle.
AB=BC = 16
OB^2 = OA^2 - AB^2 (Using pythagoras theorem )
= 20^2 - 16^2
= 400 - 256
= 144
=> OB = 12
Answer E
AC= Length of chord = 32
OB = Distance of chord from center of circle.
In a circle, the perpendicular bisector of a chord passes through the center of the circle.
AB=BC = 16
OB^2 = OA^2 - AB^2 (Using pythagoras theorem )
= 20^2 - 16^2
= 400 - 256
= 144
=> OB = 12
Answer E
Attachments
GEO.png [ 51.42 KiB | Viewed 3627 times ]
rahul12988
17 Jul 2019, 02:51
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Cord with center (O) will form a triangle. Draw a perpendicular from center & we will get 2 right angle triangle
OAB & ABC
OA= 20 (radius)
AB = 16 ( AC/2)
OB =12 ( avoid calculation by simply identifying 3-4-5 to 12-16-20)
OAB & ABC
OA= 20 (radius)
AB = 16 ( AC/2)
OB =12 ( avoid calculation by simply identifying 3-4-5 to 12-16-20)
