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A circle has a radius of 10. An arc in circle has a central angle of 72 what is the length of the arc

User Leopd
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4 votes

Answer:

Explanation:

-A circle subtends a total angle of 360 ° from its center.

-The length of an arc is directly proportional to the angle it subtends from the circle's center.

#The arc's length can therefore be calculated as:


C=\pi D=2\pi r\\\\\therefore C=(72\textdegree)/(360\textdegree)* 2\pi * 10\\\\=4\pi

Hence, the length of the arc is

User Sopehl
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