Question

A hexagonal field of side 30 m is to be used for playing cricket. As circular fields are preferred for cricket, a circle of radius 30 m is made circumscribing the hexagon so as to make the field circular. Find the increase in the area of the cricket field.​

Answer 1

Answer:

Here's your answer buddy.

Please mark as brainliest.

Step-by-step explanation:

Length of each side of the hexagonal field = 30m

Area of the hexagonal field =

$\frac{3 \sqrt{3} }{2} \times {a}^{2} \\ = \frac{3 \sqrt{3} }{2} \times {30} \times 30 \\ = 15 \times 30 \times 3 \sqrt{3} \\ = 2338.27 \: {m}^{2}$

Therefore area of the hexagonal field is 2338.27 m².

Radius of the circular field = 30m

Area = πr² = 22/7 × 30 × 30 = 2827.43 m²

Therefore increase in area = 2827.43 - 2338.27 m²

= 489.16 m²

Thus increase in area of the cricket field is 489.16 m².