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
In the figure given below, find the area of shaded region: (All measurements are in cm)
In the figure given below, find the area of shaded region: (All measurements are in cm)
In the figure given below, find the area of shaded region: (All measurements are in cm)
If the area of a rhombus is 112 cm2 and one of its diagonals is 14 cm, find its other diagonal.
One side of a parallelogram is 18 cm and its area is 153 cm2. Find the distance of the given side from its opposite side.
Find the height of a triangle whose base is 18 cm and the area is 270 cm2.
The area of an equilateral triangle is (`64xxsqrt3`) cm2. Find the length of each side of the triangle.
The sides of a triangle are in the ratio 15 : 13 : 14 and its perimeter is 168 cm. Find the area of the triangle.
The ratio between the radius of two circles is 5 : 7. Find the ratio between their:
(i) circumference
(ii) areas
From each corner of a rectangular paper (30 cm x 20 cm) a quadrant of a circle of radius 7 cm is cut. Find the area of the remaining paper i.e., shaded portion.
