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

Substituting
`\theta=90^(\circ)`, π = 3.14 and r = 7, we get;

`Arc \ length =((90)/(360))2(3.14)(7)`

Simplifying, we get;

`Arc \ length =(3956.4)/(360)`

Dividing, we get;

`Arc \ length=10.99 \ units`

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