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A circle of radius 5, has a chord of length 5√2.

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A circle of radius 5, has a chord of length 5√2.  [#permalink]

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New post 16 Jul 2020, 04:52
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

63% (00:40) correct 38% (02:44) wrong based on 16 sessions

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A circle of radius 5, has a chord of length 5√2. What is the angle subtended by the chord at the centre of the circle?​

A. 30°​

B. 45°​

C. 60°​

D. 90°​

E. 120°​

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Re: A circle of radius 5, has a chord of length 5√2.  [#permalink]

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New post 16 Jul 2020, 05:00
Let the triangle be OYX
which is an isosceles triangle, OY = OX = 5
third side = 5√2
so the three sides are 5, 5, 5√2 which is x, x, x√2
which are the sides of isosceles right angle triangle
hence the angle subtended at the center = 90

Answer is D
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Re: A circle of radius 5, has a chord of length 5√2.   [#permalink] 16 Jul 2020, 05:00

A circle of radius 5, has a chord of length 5√2.

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