Question

In the fig. 6.20, the centre of the circle is A and
ABCDEF is a regular hexagon of side 6 cm. Find
the following. (√3 = 1.73, π= 3.14)
(1) Area of segment BPF
(ii) Area of the shaded portion.​

Answer 1

Area of segment BPF = 22.11 cm , Area of the shaded portion = 77.85 cm²

Step-by-step explanation:

Hexagon internal  angle = 120°

Hexagon side =Radius = 6 cm

Area of arc segment ABPF = (120/360)π R²

= (1/3) (3.14)6²

= 37.68 cm²

Area of ΔABF  = (1/2) 6 * 6*Sin(120/2)  =   18√3/2 = 9 * 1.73 = 15.57 cm²

Area of segment BPF = 37.68 - 15.57

= 22.11 cm

Area o hexagon  = (3√3 / 2)6² = 93.42 cm²

Area of the shaded portion. = 93.42 - 15.57 = 77.85 cm²

Learn more:

find the area of the given hexagon ABCDEF in which each side is ...

https://brainly.in/question/2966098

What is the area of the shaded portion of the circle? (5π – 11.6) ft2 ...

https://brainly.in/question/10536310