Question

For which of the following is the arc between the two hands of a clock greater than a semicircle?

Answer 1

Answer:

A. The hands are at 11 and 6; arc measured clockwise

Step-by-step explanation:

A semicircle measures 180º and when you measure the distance from 11 to 6 the difference in the hands of the clock by each hour is given by the equation:

$\frac{360}{12}$= 30

So there are 7 numbers between the 11 and the 6 if you measure it clockwise, that means that the angle formed by the two hands of the clock measured clockwise is:

7*30= 210

Wich is greater than 180º, which is why that is the correct answer.

Answer 2

Answer:

A

Step-by-step explanation:

Each hour is 30 degrees. 11 to 6 is 7 hours so 30 * 7 = 210 degrees, which is greater than a semicircle, which is 180 degrees.