Answer:
2.75units
Explanation:
Find the diagram attached
The length of an arc is expressed as shown;
![L = (\theta)/(360) * 2 \pi r](https://img.qammunity.org/2022/formulas/mathematics/high-school/86175l8pzldcro6a0up388et3uqj85ezys.png)
r is the radius = length of GH
r = GH = 11units
m<GHJ = 34 degree
Substitute the given parameters into the equation given;
![L = (\theta)/(360) * 2 \pi r](https://img.qammunity.org/2022/formulas/mathematics/high-school/86175l8pzldcro6a0up388et3uqj85ezys.png)
![L = (34)/(360) * 2(3.14)(11)\\ L = (34)/(360) * 29.08\\L = (988.72)/(360)\\L = 2.75 units\\](https://img.qammunity.org/2022/formulas/mathematics/high-school/vtc11263nrui0e9ocbm0g4sg35pe0boa1g.png)
Hence the length of the arc to the nearest hundredth is 2.75units