Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

6 yd 135° 29.3 16.8 21.2 14.1

Question

6 yd
135°
29.3
16.8
21.2
14.1

Explanation:

Step1: Recall the arc length formula

The formula for the length of an arc of a circle is $L=\frac{\theta}{360^\circ}\times2\pi r$, where $\theta$ is the central angle in degrees and $r$ is the radius of the circle.

Step2: Identify the values of $\theta$ and $r$

From the diagram, the radius $r = 6$ yd and the central angle $\theta=135^\circ$.

Step3: Substitute the values into the formula

Substitute $\theta = 135^\circ$ and $r = 6$ into the arc length formula:

$$ LATEXBLOCK0 $$

Answer:

14.1