The accurate statements are:
- b. The circumference of the clock is approximately 62.8 inches.
- c. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.
- e. The length of the minor arc between 6 and 7 is approximately 5.2 inches.
The given parameters are:
--- number of parts
--- the radius
<u>(a) The central angle</u>
Between points 1 and 3, there are 2 sections, each of which has a measure of 30 degrees.
So, the measure of the two sections is:
![\theta = 30^o \times 2](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2030%5Eo%20%5Ctimes%202)
![\theta = 60^o](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2060%5Eo)
Hence, (a) is false
<u>(b) The circumference</u>
This is calculated using:
![C = 2\pi r](https://tex.z-dn.net/?f=C%20%3D%202%5Cpi%20r)
So, we have:
![C = 2 \times 3.14\times 10](https://tex.z-dn.net/?f=C%20%3D%202%20%5Ctimes%203.14%5Ctimes%2010)
![C = 62.8](https://tex.z-dn.net/?f=C%20%3D%2062.8)
Hence, (b) is true
<u>(c) The measure of the minor arc</u>
Between points 12 and 4, there are 4 sections, each of which has a measure of 30 degrees.
So, the measure of the four sections is:
![\theta = 30^o \times 4](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2030%5Eo%20%5Ctimes%204)
![\theta = 120^o](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20120%5Eo)
Hence, (c) is true
<u>(d) The length of the major arc</u>
Between points 3 and 10, there are 7 sections, each of which has a measure of 30 degrees.
So, the measure of the seven sections is:
![\theta = 30^o \times 7](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2030%5Eo%20%5Ctimes%207)
![\theta = 210^o](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20210%5Eo)
The length of the arc is:
![L = \frac{\theta}{360} \times 2\pi r](https://tex.z-dn.net/?f=L%20%3D%20%5Cfrac%7B%5Ctheta%7D%7B360%7D%20%5Ctimes%202%5Cpi%20r)
So, we have:
![L = \frac{210}{360} \times 2 \times 3.14 \times 10](https://tex.z-dn.net/?f=L%20%3D%20%5Cfrac%7B210%7D%7B360%7D%20%5Ctimes%202%20%5Ctimes%203.14%20%5Ctimes%2010)
![L = \frac{13188}{360}](https://tex.z-dn.net/?f=L%20%3D%20%5Cfrac%7B13188%7D%7B360%7D)
![L = 36.3](https://tex.z-dn.net/?f=L%20%3D%2036.3)
Hence, (d) is false
<u>(e) The length of the minor arc</u>
There is only one section between points 6 and 7
So, the measure of the section is:
![\theta = 30^o](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2030%5Eo)
The length of the arc is:
![L = \frac{\theta}{360} \times 2\pi r](https://tex.z-dn.net/?f=L%20%3D%20%5Cfrac%7B%5Ctheta%7D%7B360%7D%20%5Ctimes%202%5Cpi%20r)
So, we have:
![L = \frac{30}{360} \times 2 \times 3.14 \times 10](https://tex.z-dn.net/?f=L%20%3D%20%5Cfrac%7B30%7D%7B360%7D%20%5Ctimes%202%20%5Ctimes%203.14%20%5Ctimes%2010)
![L = \frac{1884}{360}](https://tex.z-dn.net/?f=L%20%3D%20%5Cfrac%7B1884%7D%7B360%7D)
![L = 5.2](https://tex.z-dn.net/?f=L%20%3D%205.2)
Hence, (e) is true
Read more about segments and arcs at:
brainly.com/question/14965059