Question

find circumference of the semi circle whose diameter is 8cm (π-3.14)​

Answer 1

$\large\bold{\bf{\green{\underline{\underline{♡\:APPROPRIATE\: QUESTION\:♡}}}}}$

$\large\bold{\sf{\pink{Find\: the\: circumference\: of\: the\: semi \:circle\: whose\: diameter \:is \:8 \:cm\: (π- 3.14)\:}}}$

$\large\bold{\bf{\green{\underline{\underline{♡\:GIVEN\:♡}}}}}$

Diameter = 8 cm

π = 3.14

$\large\bold{\bf{\green{\underline{\underline{♡\:To\:Find\:♡}}}}}$

Circumference of the semi circle.

$\large\bold{\bf{\green{\underline{\underline{♡\:SOLUTION\:♡}}}}}$

We know that the radius(r) of a circle or semicircle is half the diameter(d).

$\large\therefore\boxed{\sf{\green{r=\frac{d}{2}}}}$

$\large\Longrightarrow\red{\sf{\green{r=\frac{8}{2}}}}$

$\large\therefore\boxed{\sf{\green{r=4cm}}}$

We know that the formula of circumference of a semicircle is $\large\boxed{\green{πr+2r}}$ where r is the radius.

$\huge\blue{Now, }$

$\huge\blue{\underline{\underline{ATQ, }}}$

circumference = (πr+2r)

$\pink\Longrightarrow\large\:c=((3.14×4)+(2×4))$

$\pink\Longrightarrow\large\:c=(12.56+8)$

$\pink\therefore\large\:c=20.56 \:cm$

$\large\boxed{\sf{\blue{circumference=20.56\:cm}}}$