What is the ratio DE of the length of to the length of BC?

Question

asked Sep 5, 2021 197k views

1 Answer

Drj · Answer 1 · 2021-09-09T20:22:24+0000

Answer:

1:4

Explanation:

so we are comparing the arc lengths to get the ratio of DE:BC

$\beta / 360 * 2 * \pi * r$

to get arc length BC as

$\beta * \pi * r / 90$

and for DE as

$\beta * \pi * r / 360$

so divide DE by BC where beta pi r will cancel out. and you remain with 1/4 Wich will translate to 1:4