Answer:
(a) 28π cm
(b) 88 cm
Explanation:
Part A — Give an exact answer in terms of π.
To find circumference of a circle, our formula is:
![\displaystyle \large{C=2\pi r}](https://img.qammunity.org/2023/formulas/mathematics/high-school/t6xq86619g9n5cyvpme6miy12ufmt2hm9f.png)
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:
![\displaystyle \large{C=2\pi \cdot 14}\\\displaystyle \large{C = 28\pi}](https://img.qammunity.org/2023/formulas/mathematics/high-school/c3i8n8z6rbpwz68xablot3lr72d6zwbyp0.png)
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:
![\displaystyle \large{C=28\pi}](https://img.qammunity.org/2023/formulas/mathematics/high-school/4oaupt88vcd62edwp7clevhhpys2kvu5cx.png)
Substitute π = 22/7 in.
![\displaystyle \large{C \approx 28\cdot (22)/(7)}\\\displaystyle \large{C \approx 4\cdot 22}\\\displaystyle \large{C \approx 88 \ cm}](https://img.qammunity.org/2023/formulas/mathematics/high-school/df1j51m76wufwvd57n295lngzffaxd07e3.png)
Henceforth, the circumference in Part B is approximately 88 cm.