The length of an intercepted arc of a central angle of a circle is 4 cm. if the radius of the circle is 5 cm, what is the measurement of the central angle to the nearest whole degree?

a) 35°
b) 41°
c) 46°
d) 50°

C

Step-by-step explanation:

The formula we use here is:

Length of arc =

Where

 is the central angle

r is the radius

Putting the given information into the formula we can solve for the central angle:

rounded to nearest degree, we have 46 degree

C is the right answer.

OPTION C

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

- Use the following formula for calculate the measure fo the central angle:

Where s is the arc length and r is the radius.

- Know the lenght of the arc and the radius, you can substitute values.

Therefore, you obtain;

Convert to degrees:

≈46°

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option