SOLUTION: The perimeter of a semicircle is doubled when the radius is increased by 0.5. Find the radius of the semicircle.
Algebra.Com
Question 491907: The perimeter of a semicircle is doubled when the radius is increased by 0.5. Find the radius of the semicircle.
Found 2 solutions by ccs2011, richard1234:
Answer by ccs2011(207) (Show Source): You can put this solution on YOUR website!
Perimeter of semi-circle is half the circumference.
-->
If you double that it equals
-->
Solve for r
-->
-->
-->
The radius is 0.5
Another way of looking at it is the perimeter is , and is constant so the only way to double the perimeter is to double the radius
--> 2r = r + 0.5
--> r = 0.5
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Perimeter is a function of the radius, so if the perimeter is doubled then the radius is doubled. Hence the original radius is 0.5, because if it is increased by 0.5, the radius is doubled.
RELATED QUESTIONS
The perimeter of a semicircle is doubled when the radius is increased by 6.5. Find the... (answered by mananth)
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 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)