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Rahila from The Central School , asked a question
Subject: Math , asked on 17/10/14

The area of an equilateral triangle ABC is 17320.5 cm2. With each vertex of the triangle as centre, a circle is drawn with radius equal to half the length of the side of the triangle (See the given figure). Find the area of shaded region. [Use π = 3.14 and ]

plz answer this question....and plz tell me step by step......can anyone...help me..

Mohil , From Vedant International School , added an answer
Answered on 1/2/12

Let the side of the equilateral triangle be a.

Area of equilateral triangle = 17320.5 cm2

Each sector is of measure 60°.

Area of sector ADEF 

Area of shaded region = Area of equilateral triangle − 3 × Area of each sector

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Thunder Storm , From Maharishi Vidya Mandir Chhatarpur , added an answer
Answered on 1/2/12

area of ABC = 1.743205/4 a2

17320.5 = 1.73205/4 a2

a2 = 17320.5 * 4 / 1.73205

a2 = 10000 * 4

 a2 = 40000

a = 200cm

radius = a/2

 radius = 100 cm

area of three sectors = 3( theta/360 pie r2)

= 3(6 0/360 * 3.14 * 100  *100)

= 3(1/6 * 314 * 100)

=134*50

= 15700cm2

area of shaded region = aria of ABC - areaof three sectors

area of shaded region = 17320.5 - 15700

area of shaded region = 1620.5 cm2

Anushka Das , From Kendriya Vidyalaya , added an answer
Answered on 2/2/12

 guys thankyou.....

Sathish Kumar , From Wfa , added an answer
Answered on 2/2/13

 what matttttttt  said is correct.

Namrata Bhirud , From International Indian School , added an answer
Answered on 17/10/14

1620.5 cm2is the area of the shaded region! :D

Sourabh Shrivastava , From Ram Krishna Vidya Mandir , added an answer
Answered on 1/3/15
please koi diagram bna de

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