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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musiclover10045 musiclover10045 · Answer 1 · 2017-07-14T18:58:32+02:00

A.

360/12=30 degrees between each number

3-1 = 2 2*30 = 60 degrees so A is FALSE

B

C=2 x PI x r

r=10 using 3.14 for PI = 10*3.14 =31.4 x 2 = 62.8 so B is TRUE

C 30 x 4 = 120 degrees = TRUS

D

10-3 = 7

7/12 x 62.8 = 0.5833*62.8 = 36.63 inches = FALSE

E

1/12=0.0833 x 62.8 = 5.23 rounded to 5.2 = TRUE

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ATKhwaja ATKhwaja · Answer 2 · 2021-11-29T01:37:00+01:00

Answer:

B, C, E on edge

Step-by-step explanation:

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.

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