Question

Find the area of a regular polygon whose sides are 5cm is and offsets are 4cm each

Answer 1

Step-by-step explanation:

Area of a regular Octagon=2(1+

2

)a

2

(a)Given:Side=a=4cm

Area of a regular Octagon=2(1+

2

)4

2

=2(1+

2

)×16

=32(1+

2

)

=32(1+1.414)

=32×2.414

=77.248sq.cm

(b)Given:Side=a=5cm

Area of a regular Octagon=2(1+

2

)5

2

=2(1+

2

)×25

=50(1+

2

)

=50(1+1.414)

=50×2.414

=120.7sq.cm