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

my dear correct answer is option number 3

perimeter = 10 +  √10  units

explanation:

first, we will need to get the length of each line using the distance formula which is as follows:

distance = 

1- length of ab:

ab =   = 5 units

2- length of ac

length of ac is the same as ab = 5 units

3- length of bc:

bc =   =  √10  units

now, we can get the perimeter by adding the side lengths as follows:

perimeter = 5 + 5 +  √10

perimeter = 10 +  √10  units

hope this : )

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