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
Find the perimeter of a square; whose area is: 1.69 m2
The perimeter of a square is numerically equal to its area. Find its area.
The perimeter of a square is 36 cm; find its area
The table given below contains some measures of the square. Find the unknown values.
| Side | Perimeter | Area |
| 6 cm | ? | ? |
The side of a square is 10 cm. If its side is tripled, then by how many times will its perimeter increase?
Draw a square B whose side is twice of the square A. Calculate the perimeter of the squares A and B
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.
A piece of string is 30 cm long. What will be the length of each side if the string is used to form a square?
