Question

Ram Gopal has a circular shaped plot of radius 50 cm he wants to construct a building and met a civil engineer miss Kalpana she prepared two types of plan in plan length of 80cm breadth of 60 cm is a rectangular shaped building and in Plan B is a square shaped building ramgopal wants to use maximum area of land for construction which plant did he choose which construction covers more area and by how much?

Answer 1

Ramgopal chooses square plan.

The square plan covers more area by 200 cm².

Step-by-step explanation:

The radius of the circular plot r = 50 cm

The area of the circular plot

$=\pi r^2$

$=3.14\times 50\times 50$

$=7850$ cm²

For rectangular plan, area of the rectangle

$=80\times 60$ cm²

$=4800$ cm²

For square plot, the diagonal of the square will be equal to the diameter of the circle

Thus, diagonal d = 100 cm

Therefore, the side of the square

$=\frac{d}{\sqrt{2}}$

$=\frac{100}{\sqrt{2}}$

$=50\sqrt{2}$ cm

Therefore, the area of the square

$=50\sqrt{2}\times 50\sqrt{2}$

$=5000$ cm²

Since area of the square plan is more

Therefore, the square plan covers the maximum area of the land

Therefore, Ramgopal chooses square plan

The square plan covers 5000 - 4800 = 200 cm² more area.

Hope this answer is helpful.

Know More:

Q: The perimeter of a square and circle field are the same if the area of the circular field is 3850 square metre then the area of the square is:

Click Here: https://brainly.in/question/8205292

Q: The area of a circular Field is 5041pi metres square find the perimeter of a circular field.

Click Here: https://brainly.in/question/1742383