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?

46°

Step-by-step explanation:

Lets use the formula for arc length (in radian). Then we will convert radians to degrees.

Where

s is the length of intercepted arc

r is the radius

is the angle in radians

Given,

s = 4

r = 5

We find :

So, central angle = 0.8 radians

To convert from radians to degrees, we use the conversions ratio shown below:

So,

To the nearest degree, we round up to 46°

898.1666667

step-by-step explanation:

5389/6 = 898.1666667

exactly you go it

step-by-step explanation: