SOLUTION: The perimeter of a semicircle is doubled when the radius is increased by 6.5. Find the radius of the semicircle.
Algebra.Com
Question 338531: The perimeter of a semicircle is doubled when the radius is increased by 6.5. Find the radius of the semicircle.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let the radius be r
Perimeter of semicircle P = pi*r
..
increased radius = r+6.5
Perimeter = pi*(r+6.5)
pi*(r+6.5)= 2*pi*r
divide by pi
pi*(r+6.5)/pi= 2*pi*r/pi
r+6.5 = 2*r
add -r to both sides
r-r+6.5=2r-r
r=6.5, the radius.
..
perimeter of semicircle = 6.5*pi
= 20.4
RELATED QUESTIONS
The perimeter of a semicircle is doubled when the radius is increased by one. Find the... (answered by ankor@dixie-net.com)
The perimeter of a semicircle is doubled when the radius is increased by 0.5. Find the... (answered by ccs2011,richard1234)
The perimeter of a semicircle is doubled when the radius is increased by 3. Find the... (answered by Alan3354)
The perimeter of a semicircle is doubled when the radius is increased by 3. Find the... (answered by nerdybill,MathTherapy)
The perimeter of a semicircle is doubled when the radius is increased by 5.5. Find the... (answered by Alan3354)
the perimeter of a semicircle is doubled when the radius is increased by 7.5 find the... (answered by Alan3354)
Geometry. The perimeter of a semicircle is doubled when the radius is increased by 6. (answered by dfrazzetto)
the perimeter of a semi-circle is doubled when the radius is increased by 6. Find the... (answered by dabanfield)
what is the perimeter of a semicircle with the radius of 0.8... (answered by Alan3354)