Question

The perimeter of a square is the same as the circumference of a circle whose area is 61.6 cm^2. Find the area of the square.​

Answer 1

Explanation:

first, 4l=2 x π x radius............................ eqn 1

next, find the value for the radius, r using

Area of a circle=πx radius squared

61.6=3.142 x r x r

61.6÷3.142=r x r

r x r= 19.6

r=4.43

then substitute the value of r in eqn 1

4l=2 x 3.142 x 4.43

4L=27.83812

L= 27.83812÷4

L≈6.96

area of a square = L x L

=6.96 x 6.96= 48.43