Question

Help, please :)

I really appreciate if you help me with steps as well, thanks! <3​

Answer 1

Explanation:

All we have to do here is to find the measure of the central angle; the measure of the central angle of a circle is the same measure as the arc it intercepts. Angle DQE in degrees = arc DE in degrees. Use the arc length formula to find the measure of the central angle:

`AL=(\theta)/(360)*2 \pi r` and filling in:

`8.73=(\theta)/(360)*(2)(3.14)(10)` which simplifies to

`8.73=(62.8\theta)/(360)` which simplifies a bit more to

`(360(8.73))/(62.8)=\theta` so

`\theta=50.04` degrees. That means that arc DE also measures 50.04 degrees.