Question

I need help with this ASAP

Answer 1

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:

$s=2\pi r\times \dfrac{\theta}{360^\circ}$

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

$x=2(3.14)(6)\times \dfrac{75^\circ}{360^\circ}$

$x=2(3.14)(6)\times \dfrac{5}{24}$

$x=7.85$

$x\approx 7.9$

Therefore, the value of x is 7.9 inches.