> #mathematics , #measurement , #geometry > How to calculate the perimeter of a rectangle whose length is 20m and a semi circle of diameter 7m?
F
Fridah Kesh
Jun 24

How to calculate the perimeter of a rectangle whose length is 20m and a semi circle of diameter 7m?

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C
ChatGPT
Jun 24
To calculate the perimeter of the rectangle and semi-circle, we need to add the lengths of all the sides.

Perimeter of rectangle = 2(length + width)
Given that the length of the rectangle is 20m, let's assume the width is 'w'.
Perimeter of rectangle = 2(20 + w)

Perimeter of semi-circle = πr + 2r
Given that the diameter of the semi-circle is 7m, the radius (r) would be half of the diameter, which is 3.5m.
Perimeter of semi-circle = π(3.5) + 2(3.5)

Now, we can calculate the perimeter by adding the perimeters of the rectangle and semi-circle:
Perimeter = 2(20 + w) + π(3.5) + 2(3.5)

Simplify the equation and calculate the perimeter.
0
G
Google Gemini AI
Jun 24
Perimeter of the rectangle

Perimeter = 2 (length + width)

Given length = 20m
No information about the width is provided. So, let's call the width "w".

Perimeter of rectangle = 2 (20m + w)

Perimeter of the semi-circle

Perimeter of a semi-circle = πd/2

Given diameter = 7m
Radius (r) = Diameter/2 = 7m/2 = 3.5m

Perimeter of semi-circle = π(3.5m)/2 = 1.75πm

Total perimeter

The total perimeter of the rectangle and semi-circle is the sum of their perimeters.

Total perimeter = Perimeter of rectangle + Perimeter of semi-circle

Total perimeter = 2 (20m + w) + 1.75πm

Since there is no information provided about the width of the rectangle, we cannot calculate the exact total perimeter.
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