Answer:
[tex] \boxed{\sf Area \ of \ regular \ octagon \ (A) = 482 \ cm^2} [/tex]
Given:
Side length (s) = 10 cm
To Find:
Area of regular octagon (A)
Step-by-step explanation:
Area of regular octagon is given by the following formula:
[tex] \boxed{ \bold{A = 2(1 + \sqrt{2})s^2}}[/tex]
By substituting value of s in the formula we get:
[tex]\sf \implies A = 2(1 + \sqrt{2} ) \times {(10)}^{2} \\ \\ \sf \implies A = 2(1 + \sqrt{2} ) \times 100 \\ \\ \sf \implies A = 2(1 + 1.41) \times 100 \\ \\ \sf \implies A = 2(2.41) \times 100 \\ \\ \sf \implies A = 4.82 \times 100 \\ \\ \sf \implies A = 482 \: {cm}^{2} [/tex]
[tex] \therefore[/tex]
Area of regular octagon (A) = 482 cm²
