The ratio of the length of to DE the length of BC is 1:4.
What are the ratio and proportion?
A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
To find
The ratio of the length of DE to the length of BC.
How to find the ratio of the length of to DE the length of BC?
We know the arc formula
[tex]Arc = \dfrac{\theta}{360} 2\pi r[/tex]
For BC
[tex]\rm BC= \dfrac{ 2 \beta }{360} 2\pi r\\BC = \dfrac{\beta}{360} 4 \pi r[/tex]
For DE
[tex]\rm DE= \dfrac{\beta }{360} 2\pi \dfrac{r}{2}\\DE = \dfrac{\beta}{360} \pi r[/tex]
So the ratio will be
[tex]\dfrac{DE}{BC} = \dfrac{1}{4}[/tex]
Thus the ratio is 1:4.
More about the ratio and proportion link is given below.
https://brainly.com/question/1504221