Question

The ratio of the perimeter of the shaded region to the circumference of the circle is
answer with solution​

Answer 1

Answer:

1:4

Step-by-step explanation:

perimeter/circumference of a circle = $\sf{2\pi r }$

Shaded region is quarter of a circle,

$\implies$ Perimeter = $\sf{ {\Large\frac{2\pi r}{4}}\pi r}$

$\therefore$ Perimeter = $\sf{{\Large\frac{1}{2}} \pi r }$

Circumference of circle = $\sf{2\pi r }$

Solution :

$\implies$ $\sf{{\Large\frac{Perimeter\ of\ shaded\ region}{circumference}} }$

$\implies$ $\sf{{\Large\frac{1/2 ×\pi × r }{2\pi r}}}$

$\implies$ $\sf{{\Large\frac{1}{4}} }$

$\therefore$ $\boxed{\sf{1:4 }}$

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