Question

Could you help me with this homework I have 7 minutes left

Answer 1

Given:

NR = 10 m

Measure of arc MQ = 162 degrees

Let's find the length of arc NP.

Here, we have:

Measure of arc MQ = Measure of arc NP

Now apply the Angle-arc relationship, we have:

Measure of arc NP = measure of angle NRP = 162 degrees.

To find the length of arc NP, apply the formula;

`arc_(NP)=(\theta)/(360)*2\pi r`

Where:

θ = 162 degrees

r is the radius = NR = 10 m

Thus, we have:

`\begin{gathered} arc_(NP)=(162)/(360)*2\pi *10 \\ \\ arc_(NP)=0.45*62.83 \\ \\ arc_(NP)=28.27\text{ m} \end{gathered}`

Therefore, the length of arc NP is 28.27 m.

ANSWER:

28.27 m