Answer:
(a) 28π cm
(b) 88 cm
Step-by-step explanation:
Part A — Give an exact answer in terms of π.
To find circumference of a circle, our formula is:
[tex]\displaystyle \large{C=2\pi r}[/tex]
Where:
- C = circumference
- r = radius
Radius is,the line segment or value from center to one of endpoints. Our radius is given as 14 cm in the shown attachment.
Henceforth, our circumference is:
[tex]\displaystyle \large{C=2\pi \cdot 14}\\\displaystyle \large{C = 28\pi}[/tex]
So for part A, the circumference is 28π cm.
Part B — Use π ≈ 22/7 and express your answer as a fraction in lowest terms.
For this part, use the circumference that we solved from part A:
[tex]\displaystyle \large{C=28\pi}[/tex]
Substitute π = 22/7 in.
[tex]\displaystyle \large{C \approx 28\cdot \frac{22}{7}}\\\displaystyle \large{C \approx 4\cdot 22}\\\displaystyle \large{C \approx 88 \ cm}[/tex]
Henceforth, the circumference in Part B is approximately 88 cm.
