Respuesta :
The area created by the clock when it's at 4:00 is 84.83in^2
Data;
- radius = 9 inches
- angle = ?
Area of a Sector
The area of a sector is given as
[tex]A = \frac{\theta}{360} * \pi r^2[/tex]
But we don't know the angle, we can find this by using the total number of hours present in a clock
[tex]\frac{12}{360} = 30^0[/tex]
This shows that for every hour, the clock is subtended at 30 degrees.
In four hours, the clock will be 4 * 30 = 120 degree
Let's substitute this into the equation and solve
[tex]A = \frac{\theta}{360} * \pi r^2\\A = \frac{120}{360} * 3.142 * 9^2\\A = 84.83in^2[/tex]
The area created by the clock when it's at 4:00 is 84.83in^2
Learn more on area of a sector here;
https://brainly.com/question/22972014
