Question

Find the length of arc XPY. Round your answers to the nearest tenth.X4 mPLength of the major arc XPY is__m.Blank 1:byY

Answer 1

18.8 meters

Explanation:

In the circle:

• The radius of the circle = 4 m

,

• The angle subtended by the major arc XPY = 270°

The length of an arc is calculated using the formula:

`L=(\theta)/(360\degree)*2\pi r`

Substitute the values into the formula:

`\begin{gathered} L=(270\degree)/(360\degree)*2*3.14*4 \\ =18.84 \\ \approx18.8\text{ meters} \end{gathered}`

The length of the major arc XPY is 18.8 meters (rounded to the nearest tenth).