Question

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

Answer 1

1/4:A

1/3:B

2/5:C

1/5:D

Answer 2

for a circle: \[Circumference =2 \times \pi \times r\]
This is the length for angle = 360 degrees or 2pi Radians
So if the angle is x (in radians) as shown in the figure
\[length -of -the -arc= x \times r\]
so length of DE \[BC =2 \beta \times r\]
similarly \[DE =\beta \times \frac r 2\]
\[ratio = \frac {DE}{BC}= \frac{\beta r/2}{2 \beta r} = \frac {1} {4}\]
So ratio = 1:4 Option A

Answer 3

thanks you were correct.

Answer 4

You are welcome :)