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# If O is the center of the circle and radius of the circle is 5, what i

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Joined: 02 Aug 2009
Posts: 7037
If O is the center of the circle and radius of the circle is 5, what i  [#permalink]

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Updated on: 28 Jul 2018, 01:05
00:00

Difficulty:

45% (medium)

Question Stats:

71% (00:58) correct 29% (01:41) wrong based on 55 sessions

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If O is the center of the circle and radius of the circle is 5, what is the area of $$\triangle{ AOB}$$?

(1) $$\angle{ ACB}=30$$

(2) $$AB=OA$$

New question!!!..

Attachment:

4.png [ 4.04 KiB | Viewed 324 times ]

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Originally posted by chetan2u on 27 Jul 2018, 22:56.
Last edited by Bunuel on 28 Jul 2018, 01:05, edited 1 time in total.
EDITED.
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 930
WE: Supply Chain Management (Energy and Utilities)
Re: If O is the center of the circle and radius of the circle is 5, what i  [#permalink]

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27 Jul 2018, 23:10
chetan2u wrote:
Attachment:
4.png
If O is the center of the circle and radius of the circle is 5, what is the area of $$\triangle{ AOB}$$?
(1) $$\angle{ ACB}=30$$
(2) $$AB=OA$$

New question!!!..

Given radius of circle =OA=OB=5 unit
Question stem:- Area of $$\triangle{ AOB}$$=?

St1:-
The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.
Given $$\angle{ ACB}=30$$,
We have $$\angle{ AOB}=60$$
Now $$\triangle{ AOB}$$ has measure of each of the three angles 60 degree. (Since OA=OB)
Or, $$\triangle{AOB}$$ is an equilateral triangle with side 5 unit.
Area can be determined, though exact computation isn't required.
Sufficient.

St2:- $$AB=OA$$
Already we have OA=OB. Therefore, OA=OB=AB.
Or, $$\triangle{ AOB}$$ is an equilateral triangle with side 5 unit.
Area can be determined, though exact computation isn't required.
Sufficient.

Ans. (D)
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Re: If O is the center of the circle and radius of the circle is 5, what i &nbs [#permalink] 27 Jul 2018, 23:10
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