Q20 of 68 Page 15

A regular hexagon is inscribed in a circle. If the area of hexagon is,find the area of the circle.

Given,


Area of regular hexagon = cm2


From formula





So,


Area of circum circle of regular hexagon = π(side)2


= 3.14×4×4cm2 = 50.24cm2


More from this chapter

All 68 →
18

In Fig.15.72(a), OABC is a square of side 7cm. If OAPC is a quadrant of a circle with centre O, then find the area of the shaded region.

 19

A circular pond is of diameter 17.5m. It is surrounded by a 2m wide path. Find the cost of constructing the path at the rate of ` 25 per square meter

 21

A path of width 3.5m runs around a semi-circular grassy plot whose perimeter is 72m. find the area of the path.

 22

Find the area of a shaded region in the Fig.15.73, where a circular arc of radius 7cm has been drawn with vertex A of an equilateral triangle ABC of side 14cm as centre.