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spin [16.1K]
4 years ago
6

I need help please! All answers must have pi in it.

Mathematics
1 answer:
777dan777 [17]4 years ago
8 0

Answer:

We will find the arc length of the given circles.

By using\theta=\frac{s}{r}

And also degree=\frac{\pi}{180}radian

Where, s is the arc length and r is the radius.

In  figure 3 : radius is 9 yd and \theta=45^{\circ}

On substituting the values in the formula we get:

45^{\circ}=\frac{s}{9}

s=\frac{9\pi}{4}

In figure 4:radius is 11 km and \theta=150^{\circ}

On substituting the values in the formula we get:

150^{\circ}=\frac{s}{11}

150\cdot \frac{\pi}{180}=\frac{s}{11}

\Rightarrow \frac{5\pi}{6}=\frac{s}{11}

\Rightarrow \frac{55\pi}{6}=s

In figure 5:radius is 11 in and \theta=270^{\circ}

On substituting the values in the formula we get:

270^{\circ}=\frac{s}{11}

270\cdot \frac{\pi}{180}=\frac{s}{11}

\Rightarrow \frac{3\pi}{2}=\frac{s}{11}

\Rightarrow \frac{33\pi}{2}=s

In figure 5:radius is 11 in and \theta=270^{\circ}

On substituting the values in the formula we get:

270^{\circ}=\frac{s}{11}

270\cdot \frac{\pi}{180}=\frac{s}{11}

\Rightarrow \frac{3\pi}{2}=\frac{s}{11}

\Rightarrow \frac{33\pi}{2}=s

In figure 6:radius is 7 in and \theta=150^{\circ}

On substituting the values in the formula we get:

150^{\circ}=\frac{s}{7}

150\cdot \frac{\pi}{180}=\frac{s}{7}

\Rightarrow \frac{5\pi}{6}=\frac{s}{7}

\Rightarrow \frac{35\pi}{6}=s




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