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=((\theta)/(360) ) 2 \pi r`

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

`Arc \ length=((90)/(360) ) 2 (3.14)(12)`

Multiplying the terms, we have;

`Arc \ length=(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.