Question

Find the arc length of the shaded region. Multiply through by #(3.14) Round solution to
tenth place. Ex. 1.2
90°

Answer 1

Given:

The radius of the circle is 12 units.

The central angle of the shaded region is 90°

We need to determine the arc length of the shaded region.

Arc length:

The arc length of the shaded region can be determined using the formula,

$Arc \ length=(\frac{\theta}{360} ) 2 \pi r$

substituting $\theta=90$ and r = 12, we get;

$Arc \ length=(\frac{90}{360} ) 2 (3.14)(12)$

Multiplying the terms, we have;

$Arc \ length=\frac{6782.4}{360}$

Dividing, we get;

$Arc \ length=18.84$

Rounding off to the nearest tenth, we get;

$Arc \ length =18.8$

Thus, the arc length of the shaded region is 18.8 units.