Suppose that circles r and s have a central angle measuring 125°. additionally, circle r has a radius of 2 3 feet and the radius of circle s is 3 4 feet. if the length of the intercepted arc for circle r is 4 9 π feet, what is the length of the intercepted arc for circle s?

Let 

rR> radius of the circle R

rS> radius of the circle S

LR> the length of the intercepted arc for circle R

LS> the length of the intercepted arc for circle S

we have that

rR=2/3 ft

rS=3/4 ft

rR/rS=8/9> rS/rR=9/8

LR=(4/9)π ft

we know that

if Both circle R and circle S have a central angle , the ratio of the radius of circle R to the radius of circle S is equals to the ratio of the length of circle R to the length of circle S

rR/rS=LR/LS> LS=LR*rS/rR> [(4/9)π*9/8]> (1/2)π ft

the answer is

the length of the intercepted arc for circle S is  (1/2)π ft

drive more conversions to your website

conversions are the outcome of your efforts. when a visitor sign up for any newspaper, or fill any form to order a specific product or when your page is shared on social media, all such attempts mean conversions of a website. whenever your desired action is fulfilled, the conversion rate of your website will increase. this increase in your conversion rate will prove that your website is   going well. it also confirms that the quality of your website’s marketing was really good.drive more conversion to your website       drive more conversions to your website