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 `sqrt(3) = 1.732` and π = 3.14.]

Answer 1

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

The hexagon is made up of six triangles.

Total area of the design = Area of the  circle - Area of six triangles

`[22/7xx35xx35]-[6xx(sqrt(3)/4xx35xx35)]`

`=(35xx35)[22/7-((6xx1.732)/4)]`

`= 12225 (22/7-2.598)`

= 1225xx0.542

= 663.95 cm²