Question

If VW is 10 cm, find the length of VR⌢. Round to the nearest hundredth (two decimal places).

Answer 1

Given:

Given that the length of VW is 10 cm.

The central angle is 127°

We need to determine the arc length of VR.

Arc length of VR:

The arc length of VR can be determined using the formula,

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

Substituting $\theta=127$ and r = 10, we get;

$Arc \ length = \frac{127}{360}\times 2 (3.14)(10)$

Simplifying the terms, we get;

$Arc \ length = \frac{7975.6}{360}$

$Arc \ length = 22.154$

Rounding off to the nearest hundredth, we get;

$Arc \ length = 22.15$

Thus, the arc length of VR is 22.15 cm