Question

Sectors having equal central angle of two circles have arc lengths 1.28 and 0.32. What is the ratio of their radii

• A. 1:4
• B. 2:1
• C. 4:1
• D. 1:2

Answer 1

Answer:

C. 4:1

$l=r\theta$

$l_1=1.28;l_2=0.32$

$\frac{l_1}{r_1}=\frac{l_2}{r_2}$

$\frac{l_1}{l_2}=\frac{r_1}{r_2}=\frac{1.28}{0.32}=\frac{128}{32}=\frac{4}{1}$

$=4:1$