Question

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

Answer 1

Answer:

Step-by-step 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:

$AL=\frac{\theta}{360}*2 \pi r$ and filling in:

$8.73=\frac{\theta}{360}*(2)(3.14)(10)$ which simplifies to

$8.73=\frac{62.8\theta}{360}$ which simplifies a bit more to

$\frac{360(8.73)}{62.8}=\theta$ so

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