Advertisements
Advertisements
प्रश्न
A wire, when bent in the form of a square encloses an area of 484 cm2. Find :
(i) one side of the square ;
(ii) length of the wire ;
(iii) the largest area enclosed; if the same wire is bent to form a circle.
उत्तर
(i)
Area of Square = 484 cm2
Side of Square = `sqrt("Area")` = `sqrt484` = 22 cm
(ii)
Perimeter, i.e. length of wire = 4 x 22 = 88 cm
(iii)
Circumference of circle = 88 cm
2πr = 88
`2 xx 22/7 xx r = 88`
`r = (88 xx 7)/(2 xx 22)`
r = 14 cm
∴ The largest area enclosed = `pir^2`
= `22/7 xx 14 xx 14`
= 616 cm2
Hence (i) 22 cm (ii) 88 cm (iii) 616 cm2
APPEARS IN
संबंधित प्रश्न
Find the perimeter of a square; whose area is: 1.69 m2
Your garden is in the shape of a square of side 5 m. Each side is to be fenced with 2 rows of wire. Find how much amount is needed to fence the garden at ₹ 10 per metre
Each side of a square is 7 m long. Find its perimeter
Find the perimeter of the following figure
Measure the side of the red square on the dotted sheet. Draw here as many rectangles as possible using 12 such squares.
How many rectangles could you make?
1 sq m = ______ sq cm.
In the above question, how many square metres of cloth is required to cover all the display boards? What will be the length in m of the cloth used, if its breadth is 120 cm?
Find the side of the square whose perimeter is 20 m.
Sweety runs around a square park of side 75 m. Bulbul runs around a rectangular garden with a length of 60 m and a breadth of 45 m. Who covers less distance?
In the given figure, if (ii) is divided into squares of unit length, then its area is 13 unit squares.
 |
| (ii) |
