Question

If the circumference of a circle is 55 cm then what is its radius and diameter?

Answer 1

• Radius of circle is 8.75 cm.
• Diameter of circle is 17.5 cm.

Step-by-step explanation:

Given:-

• Circumference of circle is 55 cm.

To find:-

• Radius and Diameter of circle.

Solution:-

• We will use circumference of circle for finding radius of circle.
• Then by using radius we will find diameter of circle.

We know,

Circumference of circle = 2πr

Where,

• r is radius of circle.

Put, circumference of circle in formula :

$\longrightarrow$ 55 = 2πr

$\longrightarrow$ 55 = 2 × 22/7 × r

$\longrightarrow$ 55 × 7 = 2 × 22 × r

$\longrightarrow$ 385 = 44 × r

$\longrightarrow$ 385/44 = r

$\longrightarrow$ r = 8.75

So,

Radius of circle is 8.75 cm.

We also know that,

Diameter = 2 × radius

So,

= 2 × 8.75

= 17.5

Therefore,

Diameter of circle is 17.5 cm.

Answer 2

Correct Question-:

• If the circumference of a circle is 55 cm . Then what is its radius and diameter?

AnswEr-:

• $\underline{\boxed{\star{\sf{\purple{Radius\:of\:Circle=8.75cm }}}}}$
• $\underline{\boxed{\star{\sf{\purple{Diameter \:of\:Circle\:=\:17.5cm}}}}}$

Explanation-:

Given-:

• The circumference of a circle is 55 cm.

To Find -:

• Diameter and Radius of Circle.

Now,

• $\underline{\boxed{\star{\sf{\purple{Circumference\:of\:Circle\:=\:2× \pi × Radius}}}}}$

Here ,

• Radius = ??
• Circumference of Circle = 55 cm .
• π = 22/7

Now ,

• $\implies {\large{\sf{ 55cm = 2 × \frac {22}{7} × Radius }}}$
• $\implies {\large{\sf{ 55 × 7 = 2 × 22 × Radius }}}$
• $\implies {\large{\sf{ 385 = 44 × Radius }}}$
• $\implies {\large{\sf{ \frac {385}{44} = Radius }}}$
• $\implies {\large{\sf{ 8.75cm = Radius }}}$

Therefore,

• $\underline{\boxed{\star{\sf{\purple{Radius\:of\:Circle=8.75cm }}}}}$ -----[1]

Now ,

• $\underline{\boxed{\star{\sf{\purple{Diameter \:of\:Circle\:=\:2× Radius}}}}}$

Here ,

• Radius = 8.75 cm ______[ From 1]

Now ,

• $\implies {\large{\sf{ Diameter_{(Circle)}= 2 × 8.75 }}}$
• $\implies {\large{\sf{ Diameter_{(Circle)}= 17.5 cm }}}$

Therefore,

• $\underline{\boxed{\star{\sf{\purple{Diameter \:of\:Circle\:=\:17.5cm}}}}}$

Hence ,

• $\underline{\boxed{\star{\sf{\purple{Radius\:of\:Circle=8.75cm }}}}}$
• $\underline{\boxed{\star{\sf{\purple{Diameter \:of\:Circle\:=\:17.5cm}}}}}$

☆ Figure related to this -:

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 8.75\ cm}\end{picture}$

_________________♡______________________