A circle has a central angle that measures 23º and the arc length is 12pi. Find the measure of the radius in radians. Round answers to nearest hundredth.

The radius of the circle is 93.91

Step-by-step explanation:

In order to calculate the radius of this circle we can apply the formula to find the arc length. This formula is shown below:

length = [(angle)*pi*radius]/180

Since we want to find the radius we can isolate that variable, as shown:

(angle)*pi*radius = length*180

radius = (length*180)/(angle*pi)

radius = (12*pi*180)/(23*pi) = (12*180)/23

radius = 93.91

for this case we have that by definition, the surface area of a cylinder is given by:

where:

r: it is the radius of the cylinder

h: it is the height of the cylinder

we can also rewrite it as:

where:

la: it's the lateral area

ba: area of the base

option a