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

User Kingbase
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1 Answer

4 votes

Answer:

25.33 is the circumference of the circle

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

User Juvenn Woo
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