Question

Find the arc length of the partial circle. Either in an exact answer in terms of 3.14 for pi and enter your answer as a decimal.

Answer 1

Given:

From the given figure, the radius of the partial circle is 7 units.

The central angle is 90°

We need to determine the arc length of the partial circle.

Arc length:

The arc length of the partial circle can be determined using the formula,

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

Substituting $\theta=90^{\circ}$, π = 3.14 and r = 7, we get;

$Arc \ length =(\frac{90}{360})2(3.14)(7)$

Simplifying, we get;

$Arc \ length =\frac{3956.4}{360}$

Dividing, we get;

$Arc \ length=10.99 \ units$

Thus, the arc length of the partial circle is 10.99 units.