The face of a clock is divided into 12 equal parts. The radius of the clock face is 6 inches. Assume the hands of the clock will form a central angle.
The face of a clock is divided into 12 equal parts.
Which statements about the clock are accurate? Check all that apply.
The central angle measure when one hand points at 2 and the other points at 4 is 60°.
The circumference of the clock is about 19 in.
With one hand at 5 and the other at 10, the minor arc formed by the hands is about 15.7 in.
The minor arc measure when one hand points at 1 and the other hand points at 9 is 150°.
The length of the minor arc between 11 and 2 is the same as the length of the minor arc between 7 and 10.

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Answer:

a , c , e

Step-by-step explanation:

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The statements about the clock are accurate are;

  • The central angle measure when one hand points at 2 and the other points at 4 is 60°.
  • With one hand at 5 and the other at 10, the minor arc formed by the hands is about 15.7 in.
  • The length of the minor arc between 11 and 2 is the same as the length of the minor arc between 7 and 10.

Why are the statement above correct?

1.  Note that the face of a clock is divided into 12 equal parts and the Angle of each part is= 30°

If one hand points at 2 and the other points at 4, then it is divided into two parts that is 2 to 3 and 3 to 4.

The angle that will be formed then will be = 2 (30) = 60°

So therefore option one is correct

111. When a person place one hand at 5 and the other hand at 10, then it is divided into 5 parts.

The angle that is formed= 30(5) = 150°.

Therefore, the arc length =(37.68) = 15.7.

So therefore, Option three is correct.

V.  When the length of the minor arc ranges from 11 to 2, then this is divided is 3 parts.

So therefore, 3(30) = 90°  

The minor arc is said to ranges from 7 to 10 and it is represented by  3(30) = 90°  

So therefore option five is correct.

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