Eaglecrest Elementary school is building a new playground. What is the area of the new playground?
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
Solution of 8 x 4 - 4 divided by 2 +1 is 9.33
<h3><u>Solution:</u></h3>Given that,
8 x 4 - 4 divided by 2 +1
We have to compute the above equation
Let us write the given sentence mathematically:
Let us BODMAS rule to solve the above expression
According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right.
So let us first perform multiplication of 8 and 4 in numerator
Now we can perform addition of 2 and 1 in denominator
Now we can perform subtraction of 4 from 32 in numerator
Now perform division of 28 by 3
Thus solution of 8 x 4 - 4 divided by 2 +1 is 9.33