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In the figure above, BD and CE are two diameters of circle

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In the figure above, BD and CE are two diameters of circle [#permalink] New post   07 Sep 2021, 09:13
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In the figure above, BD and CE are two diameters.png
In the figure above, BD and CE are two diameters.png [ 6.31 KiB | Viewed 2589 times ]

In the figure above, BD and CE are two diameters of circle intersecting each other at 48°.
Points A, B, C, D, and E - all lie on the circle.

Quantity A
Quantity B
m∠EAB
130°


A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
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B
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Re: In the figure above, BD and CE are two diameters of circle [#permalink] New post   19 Sep 2021, 01:49
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freak47 wrote:
Can someone please explain this more clearly?


Usind the property of Central angle:

\(∠EAB = \frac{1}{2}(∠EOB)\)

\(∠EAB = \frac{1}{2}(48° + 48° + 132°) = \frac{228°}{2} = 114°\)

Col. A: 114°
Col. B: 130°

Hence, option B
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Re: In the figure above, BD and CE are two diameters of circle [#permalink] New post   09 Sep 2021, 04:12
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Assume that O is the center of the circle. The mes of angle EOB that intercepts the small arc EB is (360- (48×2)/2= 132
The mes of the external angle EOB that intercept the large arc EB is 360-132= 228
Angle EAB intercept the same large arc that the angle center EOB. So mes of EAB = 228/2=114

Quant A < quant B
Answer B

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Re: In the figure above, BD and CE are two diameters of circle [#permalink] New post   19 Sep 2021, 00:12
Can someone please explain this more clearly?
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Re: In the figure above, BD and CE are two diameters of circle [#permalink] New post   19 Sep 2021, 01:17
CHIGATA wrote:
Assume that O is the center of the circle. The mes of angle EOB that intercepts the small arc EB is (360- (48×2)/2= 132
The mes of the external angle EOB that intercept the large arc EB is 360-132= 228
Angle EAB intercept the same large arc that the angle center EOB. So mes of EAB = 228/2=114

Quant A < quant B
Answer B

Posted from my mobile device


Can you please use a diagram to support your explanation? That would be really helpful.
Thank You
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Re: In the figure above, BD and CE are two diameters of circle [#permalink] New post   30 Nov 2022, 05:04
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: In the figure above, BD and CE are two diameters of circle [#permalink]
30 Nov 2022, 05:04
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