9000062907
Level:
B
A quarter circle is an arc formed by one quarter of the full circle. An infinite spiral is
built from quarter circles with an increasing radius. The radius of the first quarter circle
is \(1\, \mathrm{cm}\).
The radius of each quarter circle in the spiral is bigger by one half than the radius of
the previous quarter circle. Find the total length of the spiral.
\(\infty \)
\(4\pi \)
\(\frac{2}
{5}\pi \)
\(\frac{1}
{3}\pi \)