asked 102k views
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Calculate the center angle a if the lenght of the circular arc 31,4cm and the radius of the circle 9cm​

2 Answers

5 votes

Answer:

3.48 radian

Explanation:

length of arc= radius * center angle

31.4 = 9 * angle

angle is in radian

answered
User Mike Hanson
by
7.0k points
0 votes

Answer:

3.49 radians

Explanation:

The arc length formula is s = rФ, where r is the radius and Ф is the central angle. We know s and r and need to calculate Ф.

From s = rФ we get Ф = central angle = s/r

Here, that central angle Ф is (31.4 cm) / 9 cm = 3.49 radians

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