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# If a circle of radius length 4 and an equilateral triangle of side 4 a

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Math Expert
Joined: 02 Sep 2009
Posts: 56303
If a circle of radius length 4 and an equilateral triangle of side 4 a  [#permalink]

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18 Sep 2018, 21:57
00:00

Difficulty:

95% (hard)

Question Stats:

32% (02:25) correct 68% (02:21) wrong based on 37 sessions

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If a circle of radius length 4 and an equilateral triangle of side 4 are made to overlap as shown, what is the approximate area of the shaded region?

A. 1
B. 2
C. 4
D. 8
E. 16

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image030.jpg [ 2.27 KiB | Viewed 430 times ]

_________________
Intern
Joined: 15 Sep 2018
Posts: 35
GMAT 1: 660 Q50 V29
If a circle of radius length 4 and an equilateral triangle of side 4 a  [#permalink]

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19 Sep 2018, 07:10
1
The required area is the

area of arc subtending 60 degree at center - area of equilateral triangle.
= (pi*4*4/6) - (3^0.5)*4*4/4
=1.44

If a circle of radius length 4 and an equilateral triangle of side 4 a   [#permalink] 19 Sep 2018, 07:10
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