Question

The circumference of a lake is 300m.all around the lake there is a path, the wide of which is 350/11m.find the outer circumference of the path

Answer 1

CIRCUMFRENCE OF CIRCLE= 2∏r

GIVEN✨

CIRCUMFRENCE OF CIRCLE= 300m

W IDTH OF LAKE =

$\frac{350}{11} \: cm$


= 31.81 cm


so according to given condition


2∏r =300 cm


$= > 2 \times \frac{22}{7} r = 300$



$= > r = 300 \times \frac{7}{22} \times \frac{1}{2}$


$= > \frac{2100}{44}$

$= > 47.42 \: cm$

✺ RADIUS OF OUTER CIRCLE= RADIUS OF

INNER CIRCLE + WIDTH OF CIRCLE


$= > 47.42 + 31.81 = 79.23 \: cm$


CIRCUMFERENCE OF OUTER CIRCLE

= 2∏r

$= > 2 \times \frac{22}{7} \times 79.23$

$= > > \frac{1447.06}{7}$

$= > > 247.36 \: cm$