Question

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Answer 1

$<b>$Answer:

77.248 cm²

Step-by-step explanation:

An octagon is a figure with 8 sides.

A regular octagon has eight equal sides.

Area of the octagon can be found by using the formula:-

The side of the octagon is given 4 cm.

The area can be calculated by using the formula :

2 ( 1 + √2 ) a²

Put a = 4 cm .

Area = 2 ( 1 + √2 ) × ( 4 cm )²

⇒ 2 ( 1 + √2 ) × 16 cm²

⇒ 2 ( 1 + 1.414 ) × 16 cm²

⇒ 32 cm² × 2.414

⇒ 77.248 cm²

The area of the regular octagon is 77.248 cm².

Answer 2

here is your answer

given

side of octagon =4cm

to find =Area of octagon

Solution

Area of octagon =2(1+√2)side²

=2(1+√2) 4²

=2(1+√2)16

=(2+2√2)16

=32+32√2

=32+32*1.41

=32+45.12

=77.12 cm²

therefore, area of octagon =77.12cm²

hope it helps

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