Select the correct answer.

Question

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

A. 

B. 

C. 

D. 

Answer 1

The length of the arc can be found using the formula

Arc = 2πr*θ/360

where r is the radius of the circle, and θ is an angle of the sector.

Applying this formula in this problem, we can get the ratio of DE to BC as

(2*π(r/2)*β/360)/ (2πr*2β/360) = πr/(4πr)

=1/4

Thus, answer A is correct.