Advertisements
Advertisements
प्रश्न
A metal wire, when bent in the form of a square of largest area, encloses an area of 484 cm2. Find the length of the wire. If the same wire is bent to the largest circle, find:
(i) radius of the circle formed.
(ii) area of the circle.
Advertisements
उत्तर
Area of the square made wire = 484 cm2
∴ Length (side) = `sqrt"Area"=sqrt484` = 22 cm
(i) Perimeter of wire = 4 × Side
= 4 × 22 = 88 cm
∴ Circumference of circular wire = 88 cm
∴ Radius (r) = `"C"/(2π)=(88xx7)/(2xx22)"cm"` = 14 cm
(ii) ∴ Area of the circle = πr2
= `22/7xx14xx14` = 616 cm2
APPEARS IN
संबंधित प्रश्न
Find the area of the square whose perimeter is 56 cm.
A square lawn is surrounded by a path 2.5 m wide. If the area of the path is 165 m2 find the area of the lawn.
In the figure given below, find the area of shaded region: (All measurements are in cm)
The area of a rhombus is 84 cm2 and its perimeter is 56 cm. Find its height.
Find the area of a triangle whose base is 30 cm and the height is 18 cm.
Find the height of a triangle whose base is 18 cm and the area is 270 cm2.
Find the area of a right-angled triangle whose hypotenuse is 13 cm long and one of its legs is 12 cm long.
The sides of a triangle are 21 cm, 17 cm, and 10 cm. Find its area.
The legs of a right-angled triangle are in the ratio 4 : 3 and its area is 4056 cm2. Find the length of its legs.
The area of an equilateral triangle is (`64xxsqrt3`) cm2. Find the length of each side of the triangle.
