Respuesta :
The statement about the clock that is correct is as follows:
- 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
The face of the clock is divided into 12 parts. The radius of the clock face is 6 inches.
Let's find the central angle when one point of the clock hand is at 2 and the other is at 4.
Therefore,
each angle = 360 / 12 = 30°
From 2 to 4 should be 30 × 2 = 60 degrees.
The circumference of the clock = 2πr
The circumference of the clock = 2 × 3.14 × 6 = 37.68 inches
When one hand is at 5 and the other is at 10.
length of the arc formed = 150 / 360 × 2 × 3.14 × 6 = 5652 / 360 = 15.7 inches
The minor arc measure when one hand points at 1 and the other hand points at 9 is 30 × 8 = 240°.
length of arc formed between 11 and 2 = 90 / 360 × 2 × 3.14 × 6 = 3391.2 / 360 = 9.42 inches
Length of arc formed between 7 and 10 = 90 / 360 × 2 × 3.14 × 6 = 9.42 inches
Therefore, the correct options are as follows:
- 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
learn more on radius here: https://brainly.com/question/25914832
