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
The diagonal of a square is 12 cm long; find its area and length of one side.
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.
Find the perimeter of the following figure
1 sq m = ______ sq cm.
In an exhibition hall, there are 24 display boards each of length 1 m 50 cm and breadth 1 m. There is a 100 m long aluminium strip, which is used to frame these boards. 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?
The perimeter of a square garden is 48 m. A small flower bed covers 18 sq m area inside this garden. What is the area of the garden that is not covered by the flower bed? What fractional part of the garden is covered by flower bed? Find the ratio of the area covered by the flower bed and the remaining area.
Find the cost of fencing a square park of side 250 m at the rate of ₹ 20 per metre.
If each side of a rhombus is doubled, how much will its area increase?
In the following figure, if (ii) is divided into squares of unit length, then its area is 13 unit squares.
 |
| (ii) |
Two figures can have the same area but different perimeters.
