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amid [387]
3 years ago
10

The arc length of a circle of radius 4 is 6.9813. What is the central angle created by the arc? Round

Mathematics
1 answer:
gladu [14]3 years ago
3 0

The central angle is 2 radians.

Step-by-step explanation:

Arc length of circle = 6.9813

Radius of circle = 4

Central angle = ?

The formula used to find central angle is :

s=r\theta

where s= arc length, r = radius and Ф= central angle

We are given:

s= 6.9813 and r = 4 , finding central angle:

s=r\theta\\6.9813=4*\theta\\\theta=\frac{6.9813}{4}\\\theta=1.7453 \,\,radians

Rounding off to nearest whole number:

theta=1.7453 \,\,radians\\theta=2 \,\,radians

So, The central angle is 2 radians.

Keywords: Central angle of circle

Learn more about Central angle of circle at:

  • brainly.com/question/10610299
  • brainly.com/question/2115496
  • brainly.com/question/8618791

#learnwithBrainly

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