Question

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

Answer 1

Step-by-step explanation:

area of circle= πr^2

area of rectangle=length × breadth

area of rectangle =7×3.5=24.5cm^

area of rectangle= area of circle

then , area of circle = 24.5cm^2

Answer 2

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

• 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