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.
Advertisements
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
A path of uniform width, 3 m, runs around the outside of a square field of side 21 m. Find the area of the path.
The table given below contains some measures of the square. Find the unknown values.
| Side | Perimeter | Area |
| ? | 100 m | ? |
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
Find the perimeter of the following figure
1 sq m = ______ sq cm.
Tahir measured the distance around a square field as 200 rods (lathi). Later he found that the length of this rod was 140 cm. Find the side of this field in metres.
Find the cost of fencing a square park of side 250 m at the rate of ₹ 20 per metre.
Three squares are attached to each other as shown in the following figure. Each square is attached at the mid-point of the side of the square to its right. Find the perimeter of the complete figure.
Which statement is always true for a square?
A square field has a side of 15 m. What is its perimeter?
