<u>Given</u>:
Given that the diameter of the circle is ![\frac{7}{2} \ cm](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B2%7D%20%5C%20cm)
We need to determine the radius, circumference in terms of π and circumference using π = 3.14.
<u>Radius:</u>
The radius of the circle can be determined using the formula,
![r=\frac{d}{2}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bd%7D%7B2%7D)
Substituting
, we get;
![r=\frac{(\frac{7}{2})}{2}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B%28%5Cfrac%7B7%7D%7B2%7D%29%7D%7B2%7D%7D)
Simplifying, we get;
![r=\frac{7}{4} \ cm](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B7%7D%7B4%7D%20%5C%20cm)
Thus, the radius of the circle is ![\frac{7}{4} \ cm](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B4%7D%20%5C%20cm)
<u>Circumference in terms of π:</u>
The circumference of the circle can be determined using the formula,
![C=2 \pi r](https://tex.z-dn.net/?f=C%3D2%20%5Cpi%20r)
Substituting
, we get;
![C=2 \pi (\frac{7}{4})](https://tex.z-dn.net/?f=C%3D2%20%5Cpi%20%28%5Cfrac%7B7%7D%7B4%7D%29)
![C=\frac{7}{2} \pi \ cm](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B7%7D%7B2%7D%20%5Cpi%20%5C%20cm)
Thus, the circumference in terms of π is ![\frac{7}{2} \pi \ cm](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B2%7D%20%5Cpi%20%5C%20cm)
<u>Circumference using π = 3.14:</u>
Substituting π = 3.14 in the circumference of the circle
, we get;
![C=\frac{7}{2}(3.14)](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B7%7D%7B2%7D%283.14%29)
![C=10.99 \ cm](https://tex.z-dn.net/?f=C%3D10.99%20%5C%20cm)
Thus, the circumference of the circle is 10.99 cm