Question

What is the length of PQ?Use 3.14 for PiA. 109.9 UnitsB. 39.25 UnitsC. 78.5 Units

Answer 1

Given that:

`mPQ=360\text{\degree}-210\text{\degree}`

You get that its measure is:

`mPQ=150\text{\degree}`

The exercise provides the formula for calculating the length of PQ:

`length\text{ }PQ=\frac{mPQ}{360\text{\degree}}\cdot(2\pi r)`

Where "r" is the radius of the circle.

Knowing that:

`\begin{gathered} r=30 \\ \pi\approx3.14 \end{gathered}`

You can substitute values into the formula and then evaluate:

`length\text{ }PQ=\frac{150\text{\degree}}{360\text{\degree}}\cdot(2)(3.14)(30)`
`length\text{ }PQ=78.5\text{ }units`

Hence, the answer is: Option C.