# SOLUTION: the perimeter of a semi-circle is doubled when the radius is increased by 6. Find the radius

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 Click here to see ALL problems on Geometry Word Problems Question 257506: the perimeter of a semi-circle is doubled when the radius is increased by 6. Find the radius Answer by dabanfield(803)   (Show Source): You can put this solution on YOUR website!the perimeter of a semi-circle is doubled when the radius is increased by 6. Find the radius Let R be the radius of the circle. Note that 2*R is equal to the diameter. Then the perimeter of the semi-cirle is [(2*R)*pi)]/2 = R*pi. If we increase R by 6 the perimeter is doubled so: 2*(R*pi) = (R+6)*pi Solve for R. Use pi = 3.1416.