Question 953626
Perimeter of a circle is equal to the perimeter of a square whose area is 484 cm². What is the radius of the circle?
C=Circumference (perimeter) of circle={{{pi(d)}}}
S=Side of square={{{sqrt(area)}}}; P=perimeter of square=4S
d=diameter of circle
{{{S=sqrt(484cm^2)}}}={{{22cm}}}
{{{P=4S}}}={{{4(22cm)=88cm}}}
{{{C=pi(d)}}}
{{{d=C/(pi)}}}={{{88cm/(pi)=28cm}}}
radius=(1/2)d=(1/2)28cm=14cm ANSWER: The radius the circle is 14 cm.