Question 1 -0, question 2-0, question 3-0, question 4-0
The approximate diameter of this circle is equal to 6.4 cm.
<u>Given the following data:</u>
- Circumference of a circle =
cm.
To determine the approximate diameter of this circle:
<h3>How to calculate the circumference of a circle.</h3>
Mathematically, the circumference of a circle is given by the formula:
![Circumference = \pi D](https://tex.z-dn.net/?f=Circumference%20%3D%20%5Cpi%20D)
<u>Where:</u>
- D is the diameter of a circle.
Substituting the given parameters into the formula, we have;
![20\frac{4}{35}=\frac{22}{7} D\\\\\frac{704}{35} =\frac{22D}{7} \\\\704\times 7=22D \times 35\\\\4928=770D\\\\D=\frac{4928}{770}](https://tex.z-dn.net/?f=20%5Cfrac%7B4%7D%7B35%7D%3D%5Cfrac%7B22%7D%7B7%7D%20D%5C%5C%5C%5C%5Cfrac%7B704%7D%7B35%7D%20%3D%5Cfrac%7B22D%7D%7B7%7D%20%5C%5C%5C%5C704%5Ctimes%207%3D22D%20%5Ctimes%2035%5C%5C%5C%5C4928%3D770D%5C%5C%5C%5CD%3D%5Cfrac%7B4928%7D%7B770%7D)
D = 6.4 cm.
Read more on circumference of a circle here: brainly.com/question/14478195
Evaluate the left hand side first:
![4\cdot 45 + 3r = 180+3r](https://tex.z-dn.net/?f=%204%5Ccdot%2045%20%2B%203r%20%3D%20180%2B3r%20)
So, the equation is
![180+3r =336](https://tex.z-dn.net/?f=%20180%2B3r%20%3D336)
Subtract 180 from both sides:
![3r = 336-180 = 156](https://tex.z-dn.net/?f=%203r%20%3D%20336-180%20%3D%20156%20)
Finally, divide both sides by 3:
![r = \dfrac{156}{3} = 52](https://tex.z-dn.net/?f=%20r%20%3D%20%5Cdfrac%7B156%7D%7B3%7D%20%3D%2052%20)
No because all the sides don’t add up to 90 degrees