Question

If if radius of circle if radius of circle is 14 cm find the area of the circle

Answer 1

cнecĸ yoυr anѕwer ιn aттacнмenт...

Answer 2

Answer:

⋆ DIAGRAM :

$\setlength{\unitlength}{1mm}\begin{picture}(50,55)\thicklines\qbezier(25.000,10.000)(33.284,10.000)(39.142,15.858)\qbezier(39.142,15.858)(45.000,21.716)(45.000,30.000)\qbezier(45.000,30.000)(45.000,38.284)(39.142,44.142)\qbezier(39.142,44.142)(33.284,50.000)(25.000,50.000)\qbezier(25.000,50.000)(16.716,50.000)(10.858,44.142)\qbezier(10.858,44.142)( 5.000,38.284)( 5.000,30.000)\qbezier( 5.000,30.000)( 5.000,21.716)(10.858,15.858)\qbezier(10.858,15.858)(16.716,10.000)(25.000,10.000)\put(25,30){\line(5,0){20}}\put(25,30){\circle*{1}}\put(29,26){\sf\large{14 cm}}\end{picture}$

$\bigstar\:\boxed{\sf Area_{circle} = \pi \times(Radius)^2}$

$\rule{160}{1}$

$\underline{\bf{\dag}\:\textsf{According to the Question :}}$

$:\implies\tt Area_{circle}=\pi \times (Radius)^2\\\\\\:\implies\tt Area_{circle} = \dfrac{22}{7} \times(14 \:cm)^2\\\\\\:\implies\tt Area_{circle} = \dfrac{22}{7} \times 14 \:cm \times 14 \:cm\\\\\\:\implies\tt Area_{circle} =22 \times 2 \:cm \times 14 \:cm\\\\\\:\implies \underline{\boxed{\tt Area_{circle} =616 \:cm^2}}$

⠀

$\therefore\:\underline{\textsf{Therefore, Area of Circle is \textbf{616 cm ^2 }}.}$

$\rule{200}{2}$

$\underline{\bf{\dag}\:\textsf{Shortcut Trick :}}$

$\begin{tabular}{|c |c | c|}\cline{1-3}Radius & Circumference & Area \\\cline{1-3}3.5 & 22 & 38.5 \\7 & 44 &154\\10.5 & 66&346.5 \\14 & 88&616\cline{1-2}\cline{1-3}\end{tabular}$

• when Radius will Increase in Pattern of 3.5, then Circumference will Increase in Pattern of Multiple of 22
• Like that Area will Increase by Multiple of Square of Increase. Eg : 3.5 to 7, Increase is 2. So we will Multiply 38.5 by (2)² = 38.5 × 4 = 154

$\dashrightarrow\tt\:\:Area_{circle}=38.5 \times (Increase)^2\\\\\\\dashrightarrow\tt\:\:Area_{circle}=38.5 \times (4)^2\\\\\\\dashrightarrow\tt\:\:Area_{circle}=38.5 \times 16\\\\\\\dashrightarrow\:\:\underline{\boxed{\tt Area_{circle}=616\:cm^2}}$

⠀

$\therefore\:\underline{\textsf{Therefore, Area of Circle is \textbf{616 cm ^2 }}.}$