Math, asked by Braɪnlyємρєяσя, 3 months ago




\large\mathbf{HEY\: QUESTION❤}



In Figure, an equilateral triangle has been inscribed in a circle of radius 6 cm. Find the area of the shaded region. [Use π = 3.14]

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Answered by MiraculousBabe
14

Answer:

Given, Side of the equilateral triangle = 6 cm

And,

The area of the equilateral triangle

= √3/4(side)2

= √3/4(6)2

= √3/4(36)

= 9√3 cm2

Let us mark the center of the circle as O, OA and OB are the radii of the circle.

In triangle BOD,

sin 60o = BD/ OB

√3/2 = 3/ OB

OB = 2√3 cm = r

Therefore,

The area of shaded region = Area of the circle – area of the equilateral triangle

= πr2 – 9√3

= 3.14 x (2√3)2 – 9√3

= 3.14 x 12 – 9 x 1.732

= 37.68 – 15.588

= 22.092 cm2

Step-by-step explanation:

Hope \:  it  \: helps...!!

Answered by Anonymous
0

Answer:

Two attechment are here.

Step-by-step explanation:

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