Respuesta :
For the above question options are missing, so the option for the question is
14 mm
15 mm
16 mm
17 mm
The radius of the watch face is 16 mm, if the circular face of a watch has an area that measures between 800 and 900 square millimeters.
Step-by-step explanation:
The given is,
Circular face of a watch has an area 800 - 900 square millimeters
Step:1
Formula area of circle,
[tex]A = \pi r^{2}[/tex].............................(1)
Where, r - Radius of circle
[tex]\pi = 3.14[/tex]
Step:2
From the given options
Check for r = 14 mm
Area, [tex]A = \pi r^{2}[/tex] = [tex](3.14)(14)^{2}[/tex]
A = 615.44 square millimeters
Area is less than the 800 - 900 square millimeters, So 14 mm could not be radius of the watch face.
Check for r = 15 mm
Area, [tex]A = \pi r^{2}[/tex] = [tex](3.14)(15)^{2}[/tex]
A = 706.5 square millimeters
Area is less than the 800 - 900 square millimeters, So 15 mm could not be radius of the watch face.
Check for r = 16 mm
Area, [tex]A = \pi r^{2}[/tex] = [tex](3.14)(16)^{2}[/tex]
A = 803.84 square millimeters
Area is in between the 800 - 900 square millimeters, So 16 mm could be radius of watch face.
Check for r = 17 mm
Area, [tex]A = \pi r^{2}[/tex] = [tex](3.14)(17)^{2}[/tex]
A = 907.46 square millimeters
Area is greater than the 800 - 900 square millimeters, So 17 mm could not be radius of watch face.
Result:
The radius of the watch face is 16 mm, if the circular face of a watch has an area that measures between 800 and 900 square millimeters.
Answer:
The answer is C: 16 mm
Step-by-step explanation:
Just took the test and got it right
