Question

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

Answer 1

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

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