Answer:
Step-by-step explanation:
Note:
Circumference of a circle = [tex]\pi d[/tex]
Where d = diameter
We are given the diameter is 20cm, d = 20
Circumference of circle = [tex]\pi d[/tex] = 20 [tex]\pi[/tex]
Also, perimeter of a rectangle = 2 times length + 2 times width
We are told the length = 18 , width = x
Perimeter of rectangle = 2 times 18 + 2 times x
Perimeter of rectangle = 36 + 2x
The question also tells us that the circumference of the circle is EQUAL to the perimeter of the rectangle:
So this means:
Since Circumference of circle = 20[tex]\pi[/tex] ,
Perimeter of rectangle = 36 + 2x .
We can write:
Circumference of circle = perimeter of rectangle
20[tex]\pi[/tex] = 36 + 2x
Subtract 36 from both sides
20[tex]\pi[/tex] - 36 = 2x
Divide both sides by 2 to solve for "x".
x = [tex]\frac{20\pi - 36 }{2} = ?[/tex]
Plug it into your calculator and then just round it to 1 decimal place.
