Question

A round table cover has six equal designs as shown in the given figure. If the radius of the cover is 35 cm then find the total area of the design. [ Use √31.732andπ=3.14]

Solution

Join each vertex of the hexagon to the centre of the circle.

The hexagon is made up of six triangles.

The total area of the design = Area of the circle - Area of six triangles

=[227×35×35]−[6×(√34×35×35)]

=(35×35)[227−(6×1.7324)]

=1225(227−2.598)

=1225×0.542

=663.95 cm2

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