To make it simpler for you to comprehend the problem, I recommend that you first visualize it, as I did in the attached solution.
Each hour has a difference of 30°. If we sum them all up until we get to 5 o'clock, we'll obtain a ray with a 150° angle.
If you simply look at the section inside the rays, you'll notice that it creates a sector (I have attached a photo of a sector also below in case you are still not familiar with how it looks like). By this, we could conclude that we will have a need to look for the area of a sector.
The phrase "the clock measures 14 inches across" signifies that it has a 14-inch diameter. Because we only need the radius for our problem, we must divide it by 2 because a radius is always half the diameter. Hence, we have a radius of 7 inches.
The rest of how to find the answer to this problem is already on the solution that I have provided in the attached photo. Please check it. I only provided you with this explanation in case there was anything more you needed to clarify.
Note
If you simply enter 3.14 for the value of pi, the answer to this question might alternatively be 64.11 in² (In my solution, I used its exact value). You may confirm it by substituting 3.14 on the pi.
Both answers are acceptable, thus you may use any of them as an answer.
Answers & Comments
Answer
The area is 64.14 in².
Explanation and Solution
To make it simpler for you to comprehend the problem, I recommend that you first visualize it, as I did in the attached solution.
Each hour has a difference of 30°. If we sum them all up until we get to 5 o'clock, we'll obtain a ray with a 150° angle.
If you simply look at the section inside the rays, you'll notice that it creates a sector (I have attached a photo of a sector also below in case you are still not familiar with how it looks like). By this, we could conclude that we will have a need to look for the area of a sector.
The phrase "the clock measures 14 inches across" signifies that it has a 14-inch diameter. Because we only need the radius for our problem, we must divide it by 2 because a radius is always half the diameter. Hence, we have a radius of 7 inches.
The rest of how to find the answer to this problem is already on the solution that I have provided in the attached photo. Please check it. I only provided you with this explanation in case there was anything more you needed to clarify.
Note
If you simply enter 3.14 for the value of pi, the answer to this question might alternatively be 64.11 in² (In my solution, I used its exact value). You may confirm it by substituting 3.14 on the pi.
Both answers are acceptable, thus you may use any of them as an answer.