Question

I need to determine the measure in degrees of arc BC??

Answer 1

120°

Explanation:

We must calculate the area of the circle, using the following formula:

`\begin{gathered} A=\pi\cdot r^2 \\ \text{ replacing} \\ A=\pi\cdot9^2 \\ A=81\pi \end{gathered}`

We know that this area represents 360 °, we know the area of ABC, therefore we can calculate the amount in degrees that it represents in the following way:

`\begin{gathered} (360)/(81\pi)=(x)/(27\pi) \\ x=(360\cdot27\pi)/(81\pi) \\ x=120 \end{gathered}`

Therefore, the value of arc BC is equal to the angle of area ABC, that is, the arc of BC is equal to 120°