Question

Which statements about the clock are accurate? Select three options. The central angle formed when one hand points at 1 and the other hand points at 3 is 30°. The circumference of the clock is approximately 62.8 inches. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°. The length of the major arc between 3 and 10 is approximately 31.4 inches. The length of the minor arc between 6 and 7 is approximately 5.2 inches.

Answer 1

Answer:

2,3,5

EDGE 2021

Step-by-step explanation:

Answer 2

Answer:

Option 2, 3 and 5 are correct.

Step-by-step explanation:

Given question is incomplete, here is the complete question.

The face of a clock is divided into 12 equal parts.

Which statements about the clock are accurate? Select three options.

The central angle formed when one hand points at 1 and the other hand points at 3 is 30°.

The circumference of the clock is approximately 62.8 inches.

The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.

The length of the major arc between 3 and 10 is approximately 31.4 inches.

The length of the minor arc between 6 and 7 is approximately 5.2 inches.

Option 1. "Central angle when one hand points at 1 and the other hand points at 3."

Since, face of the clock has been divided in 12 equal parts.

So, central angle at the center for each part = $\frac{360}{12}$

                                                                          = 30°

Number of parts between 1 and 3 = 3

So central angle between 1 and 3 = 3 × 30°

                                                        = 90°  (False)

Option 2. "Circumference of the clock = 62.8° inches."

Formula to be used

Circumference = 2πr of a circle

r = radius of the circle

Therefore circumference of he circle = 2π(10)

                                                              = 20π

                                                              = 62.8 inches (True)

Option 3. "Minor arc measure when one hand points at 12 and the other hand points at 4 is 120°."

Number of parts between 12 and 4 = 4

So Central angle formed = 4 × 30°

                                         = 120° (True)

Option 4. "Length of major are between 3 and 10 = 31.4 inches."

Number of parts between 3 and 10 = 7

Central angle formed by hands = 7 × 30°

                                                    = 210°

$\text{Length of arc}=\frac{\pi }{360{^\circ}} \times (2\pi r)$

                    $=\frac{210}{360}\times (2\pi )(10)$  

                    = 39.65 inches  (False)

Option 5. "The length of the minor arc between 6 and 7 is approximately 5.2 inches."

Number of parts between 6 and 7 = 1

Central angle between 6 and 7 = 30°

Length of minor arc = $\frac{30}{360}\times (2\pi )(10)$

                                 $=\frac{20\pi }{12}=5.24$

                                 ≈ 5.2 inches (True)

Option 2, 3 and 5 are correct.