Please answer this question are you please
1 answer:
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Answer:
Area of pathway = 10.375 unit²
Step-by-step explanation:
Given - Peter has built a gazebo, whose shape is a regular heptagon, with
a side length of 1 unit. He has also built a pathway around the
gazebo, of constant width 1 unit, as shown below.
To find - Find the area of the pathway.
Proof -
Central angle = = 51.43°
Now,
Central angle / 2 = = 25.71°
And
height = = 1.038
Now,
Inner area of gazebo = 7··1·(1.038) = 3.634 unit²
Outer area of gazebo = ()²·(3.364) = 14.009 unit²
∴ we get
Area of pathway = Outer area - Inner area
= 14.009 - 3.634
= 10.375 unit²
⇒Area of pathway = 10.375 unit²
The expression is telling you to proceed as follows:
- Pick some number
- Pick some number
- Compute the square of
- Multiply it by 4
- Subtract
from this result.
So, first of all, there's no point in fixing , because x doesn't appear in the expression. As for the evaluation, let's follow the aforementioned steps with fixed values:
- Pick
- Pick
- Compute
- Multiply it by 4:
- Subtract
from this result: