The options C and E is a correct options which are
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.
According to the statement
we have given that the radius of the clock face is 10 inches and the face of a clock is divided into 12 equal parts.
And we have to choose the three statements which are correct from the given options.
So,
Check the all given options to find the correct options.
So, OPTION A :
360/12=30 degrees between each number
3-1 = 2 2*30 = 60 degrees so A is FALSE
Now, OPTION B:
C=2 x π x r
r=10
using 3.14 for PI = 10*3.14 =31.4 x 2 = 62.8 so B is TRUE
Now OPTION C:
30 x 4 = 120 degrees = TRUE
Now, OPTION D:
10-3 = 7
7/12 x 62.8 = 0.5833*62.8 = 36.63 inches = FALSE
Now, OPTION E:
1/12=0.0833 x 62.8 = 5.23 rounded to 5.2 = TRUE
So, The options C and E is a correct options which are
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.
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Questions:
The face of a clock is divided into 12 equal parts. The radius of the clock face is 10 inches. Assume the hands of the clock will form a central angle.
Which statements about the clock are accurate? Check all that apply.
A. The central angle formed when one hand points at 1 and the other hand points at 3 is 30°.
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°.
D. The length of the major arc between 3 and 10 is approximately 31.4 inches.
E. The length of the minor arc between 6 and 7 is approximately 5.2 inches.
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