2 Answers

Yuri Zarubin · Answer 1 · 2022-09-10T15:20:51+0000

Given:

Radius of the circle = 6 inches

Central angle = 75 degrees.

To find:

The length of subtended arc, i.e., x.

Solution:

The formula for arc length is:

$s=2\pi r* (\theta)/(360^\circ)$

Where, r is the radius and
$\theta$ is the central angle.

Putting
$s=x, r=6, \pi=3.14, \theta =75^\circ$ in the above formula, we get

$x=2(3.14)(6)* (75^\circ)/(360^\circ)$

x=2(3.14)(6)* (5)/(24)

x=7.85

$x\approx 7.9$

Therefore, the value of x is 7.9 inches.

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