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

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

h * s * a

h = history teacher

s = science teacher

a =   art teacher.

i see no data table, but just multiply the number of history teachers, science teachers, and art teachers.