Let
rA--------> radius of the circle A
rB-------> radius of the circle B
LA------> <span>the length of the intercepted arc for circle A
</span>LB------> the length of the intercepted arc for circle B
we have that
rA/rB=2/3--------> rB/rA=3/2
LA=(3/4)<span>π
</span>
we know that
if <span>Both circle A and circle B have a central angle , the ratio of the radius of circle A to the radius of circle B is equals to the ratio of the length of circle A to the length of circle B
</span>rA/rB=LA/LB--------> LB=LA*rB/rA-----> [(3/4)π*3/2]----> 9/8π
the answer is
the length of the intercepted arc for circle B is 9/8π
U can find the reciprocal of a number by flipping the number.
example : the reciprocal of 1/5 is 5/1....the reciprocal of 2/3 = 3/2.
the reciprocal of x = 2/7.....that means x = 7/2
5 / (7/2) = when dividing fractions, flip what u r dividing by, then multiply
5 * 2/7 =
10/7 or 1 3/7 <==
Perimeter is legnth +legnth + width + width or
P=2L+2W
L=2W
subsitute L=2W for L in P=2L+2W
P=2(2W)+2W
P=4W+2W
P=6W
we know that Perimiter=30 so
30=6W
divide both sides by 6
5=Width
subsitute W=5 for W in L=2W
L=2(5)
L=10
to check
10=2(10)+2(5)
30=20+10
30=30
checks
Legnght=10
Width=5
10 is in 3, so that's 30. There's another 9.
30 + 9 = 39.
39 tenths.
