Let x be the original radius. Given that a semicircle will have an arc length of half of a circumference and C=2pr, the arc length will be just pr.
Now the difference of arc is then going to be:
p(6+x)-px
p(6+x-x)
6p inches
So the arc will be 6p inches longer. Or if you wish to approximate...
≈18.85 inches
So this says
n*(-5/8)=-0.4
n(5/8)=0.4
n=0.4x8/5
n=16/25
First multiply both sides by 7
Your equation now looks like this:
x-28=0
Now move the constant to the other side causing it to change signs
The negative now becomes a positive
x=28
Now you are left with your answer:
x=28
Hope this helps! :3
The answer is in the photo above
