Question

What is the arc length when θ = 7 pi over 4 and the radius is 3.2 yd?

Answer 1

Angle= Arc/radius

7π=Arc/3.2

Arc= 22.4π

Arc= 22.4×3.14

Arc= 70.336 yd

Answer 2

Answer:

The arc length is $5.6\pi$

Step By Step Explanation:

We have been given that

$\theta = \frac{7\pi}{4} \\\\r=3.2$

Now, we know the relation between the arc length, angle and the radius.

$\theta = \frac{\text{Arc}}{\text{Radius}}$

On substituting the values, we get

$\frac{7\pi}{4} = \frac{\text{Arc length}}{3.2}\\\\ \text{Arc length}= \frac{7\pi}{4} \times 3.2\\\\ \text{Arc length}=5.6 \pi$

Therefore the arc length is $5.6\pi$