Question

Find the diameter and area of circle whose circumference is 198​

Answer 1

Step-by-step explanation:

hope this helps with your answer

Answer 2

$\blue{ \rm Diameter:}$

$\setlength{\unitlength}{1mm}\begin{picture}(50,55)\linethickness{0.4mm}\qbezier(45,30)(45,30)(5,30)\qbezier(25.000,10.000)(33.284,10.000)(39.142,15.858)\qbezier(39.142,15.858)(45.000,21.716)(45.000,30.000)\qbezier(45.000,30.000)(45.000,38.284)(39.142,44.142)\qbezier(39.142,44.142)(33.284,50.000)(25.000,50.000)\qbezier(25.000,50.000)(16.716,50.000)(10.858,44.142)\qbezier(10.858,44.142)( 5.000,38.284)( 5.000,30.000)\qbezier( 5.000,30.000)( 5.000,21.716)(10.858,15.858)\qbezier(10.858,15.858)(16.716,10.000)(25.000,10.000)\multiput(5,30)(20,0){3}{\circle*{1}}\end{picture}$

$\pink{ \rm Given:}$

• Circumference of circle = 198

$\green{ \rm To \: find: }$

• diameter of circle

• Area of Circle

$\orange{ \rm Solution: }$

To find diameter first we should know value of radius of circle

So first let's find radius of Circle.

we know:

$\bigstar \boxed{ \rm{}Circumference \: of \: circle = 2 {\pi}r}$

By using this formula we can find value of r(radius)

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

$\dashrightarrow \: \sf{}198= 2 {\pi}r$

$\dashrightarrow \: \sf{}198= 2 \times \dfrac{22}{7} \times r$

$\dashrightarrow \: \sf{}2 \times \dfrac{22}{7} \times r = 198$

$\dashrightarrow \: \sf{}r = 198 \times \dfrac{1}{2} \times \dfrac{7}{22}$

$\dashrightarrow \: \sf{}r =\cancel{198} \times \dfrac{1}{ \cancel2} \times \dfrac{7}{22}$

$\dashrightarrow \: \sf{}r =99 \times \dfrac{1}{ 1} \times \dfrac{7}{22}$

$\dashrightarrow \: \sf{}r =99 \times \dfrac{7}{22}$

$\dashrightarrow \: \sf{}r =11 \times 3 \times 3 \times \dfrac{7}{2 \times 11}$

$\dashrightarrow \: \sf{}r =\cancel{11} \times 3 \times 3 \times \dfrac{7}{2 \times \cancel{11} }$

$\dashrightarrow \: \sf{}r =3 \times 3 \times \dfrac{7}{2}$

$\dashrightarrow \: \sf{}r =\dfrac{3 \times 3 \times 7}{2}$

$\dashrightarrow \: \sf{}r =\dfrac{63}{2}$

$\dashrightarrow \: \sf{}r = 31.5$

Now Let's find diameter

we know:

$\hookrightarrow \rm{}Diameter = 2 \times radius$

$\hookrightarrow \sf{}Diameter = 2 \times 31.5$

$\hookrightarrow \blue{ \underline{\boxed{ \sf{}Diameter =63}}}$

Finally Let's find Area of Circle:

we know:

$\bigstar \boxed{ \rm{}Area \: of \: circle =\pi {r}^{2} }$

$\dashrightarrow\sf{}Area \: of \: circle =\pi {r}^{2}$

$\dashrightarrow\sf{}Area \: of \: circle = \dfrac{22}{7} \times {r}^{2}$

$\dashrightarrow\sf{}Area \: of \: circle = \dfrac{22}{7} \times {31.5}^{2}$

$\dashrightarrow\sf{}Area \: of \: circle = \dfrac{22}{7} \times31.5 \times 31.5$

$\dashrightarrow\sf{}Area \: of \: circle = \dfrac{21829.5}{7}$

$\dashrightarrow \underline{ \boxed{\sf{}Area \: of \: circle = 3118.5}}$

$\underline {\blue{~~~~~~~~~~~~~~~~~~~~~~~\:\:\:\:\bigstar~~~~~~~~~~~~~~~~~~~~~~~\:\:\:\:}}$

kindly see this answer from web for full view

Answer link:-

https://brainly.in/question/37308862