Question

the area of the largest circle that can be drawn inside a rectangle with sides 7 cm and 3.5 cm is​

Answer 1

$\Large\underline{\underline{\sf \pink{Given}:}}$

Sides of rectangle = 7cm and 3.5cm

$\Large\underline{\underline{\sf \pink{To\:Find}:}}$

Area of largest circle inside the rectangle = ?

$\Large\underline{\underline{\sf \pink{Formula\:Used}:}}$

$\large{\boxed{\sf \red{Area\:of\:Circle(A)=πR^2} }}$

$\Large\underline{\underline{\sf \pink{Solution}:}}$

Radius of circle (R)

$\implies{\sf R=\dfrac{1}{2}×3.5 }$

$\implies{\sf R=1.75\:cm }$

$\implies{\sf Area\:of\:circle=πR^2}$

$\implies{\sf A=\dfrac{22}{7}×(1.75)^2}$

$\implies{\sf A=\dfrac{22}{7}×3.06 }$

$\implies{\sf A=\dfrac{67.37}{7} }$

$\implies{\sf A=9.62\:cm^2}$

$\Large\underline{\underline{\sf \pink{Answer}:}}$

⛬ The area of the largest circle that can be drawn inside a rectangle is 9.62cm²

Answer 2

$\large\tt{Question:-}$

• Area of largest circle inside a rectangle .

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

• Length of rectangle = 7cm
• Breadth of rectangle = 3.5cm

$\LARGE\bold\star\underline{\underline\textbf{Concept\:Used}}$

• when A circle with largest diameter is put inside a rectangle it will touch both the lengths of rectangle and its diameter is equal to the breadth of the rectangle ...

$\Large\underline{\underline{\sf{Solution}:}}$

Diameter of circle = 3.5cm

⛬ Radius of circle = 3.5/2 = 35/20 = 7/4 cm

Area of circle = πr² (with radius r)

so,

Required Area :--------

$\green{\pi \times ( \frac{7}{4} )^{2}} \\ \\ \implies \: \pink{ \frac{ \cancel22}{ \cancel7} \times \frac{ \cancel49}{ \cancel4} } \: \\ \\ \implies \: \orange{ \frac{77}{2}} = \red{38.5 \: {cm}^{2} }$

Hence , Area of Largest Square will be 38.5cm² ..