Question

perimeter of semi circle is 36cm what is the length of diameter​

Answer 1

GIVEN :-

• Perimeter of semi - circle = 36 cm

TO FIND :-

• The Length of diameter.

SOLUTION :-

◉ Perimeter of semi - circle = πr + 2r

➣ 36 = πr + 2r

Take common (r)

➣ 36 = r(π + 2)

➣ 36 = r(22/7 + 2)

➣ 36 = r(22+14)/7

➣ 36 = r × 36/7

➣ r = (36 × 7)/36

➣ r = 7

Hence the radius of semi - circle is 7 cm

Now, Diameter = 2r

➣ 2 × 7

➣ 14 cm

Hence the diameter of semi - circle is 14 cm.

EXTRA INFORMATION :-

◉ Area of circle = πr²

◉ Perimeter of circle = 2πr

◉ Area of quardarant of circle = 1/4πr²

◉ Area of semi - circle = 1/2πr²

Answer 2

$\bf\large{\underline{Question:-}}$

perimeter of semi circle is 36cm what is the length of diameter.

$\bf\large{\underline{Given:-}}$

• Perimeter of semi circle = 36cm

$\bf\large{\underline{To\:Find:-}}$

• Length of diameter.

$\bf\large{\underline{Solution:-}}$

We know that,

• Diameter = 2 × Radius

• Perimeter of semi circle = Length of arc + Diameter

$\bf → 36 = πr + 2r$

$\bf → r(π +2) = 36$

$\bf → r( 22/7 + 2) = 36$

$\bf → r ( 36 / 7) = 36$

$\bf → r = 36 × \frac{ 7}{36}$

$\bf → Radius = 7 cm$

$\bf\large{\underline{Hence:-}}$

• Diameter = 2 × Radius
• Diameter = 2 × 7 = 14 cm