If the circumference of a circle is 36, what is the length of an arc of the circle intercepted by a central angle of 30 degrees?

Step-by-step explanation:

The formula for calculate the arc lenght is:

Where "r" is the radius and "" is the central angle of the arc in degrees.

The formula used to find the circumference of a circle is:

Where "r" is the radius.

Then, we can observe that the formula for calculate the arc lenght can be rewritten in this form:

Where "C" is the circumference of the circle.

Finally we need to substitute the central angle and the circumference into . Then the result is this:

2

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted