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

square pyramid

step-by-step explanation:

square prism looks like nothing like that

triangular prism has a rectangular base instead of a square base

tetrahedron has a triangular base

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.