Question

A regular hexagon is inscribed in circle with radius 10 inches . Its area is = ?

Answer 1

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Area of a regular hexagon is inscribed in circle is ( 3/2)R2√3.

Given that radius(R) = 10 inches .

Now ( 3/2)R2√3 = ( 3/2)(10)2√3.

= ( 3/2)100√3.

= 150√3  square inches .


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Answer 2

Given:

Regular Hexagon is inscribed in a circle of radius 10 inches.

To Find:

Find the area of the hexagon.

Solution:

Hexagon will be formed by the 6 equilateral triangles ,

side of each equilateral triangle = radius of the circle =10 inches

Area of hexagon = 6x area of each triangle

                            =6x (√3/4)a²

                             =6×(√3/4)×10²

                             =(3×√3×100)/2

                             =259.8 inches²

Hence the area of hexagon is 259.8 inches².