Question

what is the area of the largest circle that can be cut out of a rectangle measuring 10 cm in length and 8 cm in breadth ​

Answer 1

$\red{\textbf{Answer :-}}$$= 50.28 {cm}^{2}$

Step-by-step explanation:

$\red{\textbf{Given :- }}$

$\textsf{length = 10cm}$

$\textsf{Breadth = 8cm}$

$\red{\textbf{To find :-}}$

$\textsf{Area of the largest circle}$

$\Large\textsf{according to the question ,}$

$\textsf{firstly we make a rectangle and draw a }$

$\textsf{circle in centre }$.

$\textsf{Therefore,}$

$\: diameter \: = 8cm$

$radius \: = \LARGE \frac{diameter}{2}$

$= \LARGE \frac{8}{2}$

$= 4 \: cm$

$now,$

$the \: area \: of \: the \: circle \: = \pi {r}^{2}$

$= \LARGE \frac{22}{7} \small \times {4}^{2}$

$= \LARGE \frac{22}{7} \small \times 16$

$= 50.28 {cm}^{2}$

$\Large\textsf{Thus, the area of the circle }$$= 50.28 {cm}^{2}$