If the length of an arc of measure 55 degrees is 3.87 inches find the circumference of the circle

25.33 is the circumference of the circle

Step-by-step explanation:

Here, given the measure of the arc, we want to get the circumference of the circle

mathematically, the length of an arc can be calculated using the formula;

theta/360 * 2 * pi* r

where 2 * pi * r = circumference of the circle

theta is the angle subtended at the center which is 55 degrees in this case

Thus, we have ;

55/360 * 2 * pi * r = 3.87

2 * pi * r = (3.87 * 360)/55

2 * pi * r = 25.33 inches

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?