9. Top surface of a raised platform is in the shape of a regular octagon, as shown in the figure. Find the area of the octagonal surface.
Question
9. Top surface of a raised platform is in the shape of a regular octagon, as shown in the figure. Find the area of the octagonal surface.
Solution
To find the area of the octagonal surface, we can use the formula for the area of a regular octagon.
Step 1: Identify the given information. In this case, we are given that the top surface of the raised platform is in the shape of a regular octagon.
Step 2: Recall the formula for the area of a regular octagon. The formula is A = 2 * (1 + √2) * s^2, where A represents the area and s represents the length of one side of the octagon.
Step 3: Determine the length of one side of the octagon. If the figure is provided, measure the length of one side using a ruler. If the length is not given, you may need additional information or measurements to find it.
Step 4: Substitute the value of s into the formula. Calculate the value of (1 + √2) if necessary.
Step 5: Multiply the calculated value by 2 to find the area of the octagonal surface.
Step 6: Round the final answer to the appropriate number of significant figures or decimal places, if required.
By following these steps, you can find the area of the octagonal surface.
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