Advertisements
Advertisements
प्रश्न
A wire when bent in the form of a square encloses an area of 484cm2. If the same wire is bent into the form of a circle, find the area of the circle.
Advertisements
उत्तर
The side of a square whose area is 484cm2
= `sqrt(484)`
= 22cm
⇒ The perimeter of the square = 4 x 22cm
The Circumference of a Circle with radius r = 2πr
Here,
2πr = 4 x 22cm
⇒ r = `(88)/(2pi)`
= `(88 xx 7)/(2 xx 22)`
= 14cm
The Area of a Circle with radius r = πr2
The Area of a Circle with radius 14 = π(14)2
= `(22)/(7) xx (14)^2`
= 22 x 2 x 14
= 616cm2.
APPEARS IN
संबंधित प्रश्न
The minute hand of a circular clock is 15 cm long. How far does the tip of the minute hand move in 1 hour. (Take π = 3.14)
Find the area of circle whose circumference is 44 cm.
The area of circle, inscribed in equilateral triangle is 154 cms2. Find the perimeter of
triangle.
In a circle of radius 14 cm, an arc subtends an angle of 120° at the centre. If `sqrt(3) = 1.73` then the area of the segment of the circle is
OACB is a quadrant of a circle with centre O and its radius is 3.5 cm. If OD = 2 cm. find the area of
- quadrant OACB
- the shaded region.
A 7 m road surrounds a circular garden whose area is 5544 m2. Find the area of the road and the cost of tarring it at the rate of Rs.150 per sq m.
Find the perimeter of the given shape (Take π = `22/7`).
Circumference of a circle disc is 88 cm. Its radius is ______.
The area of a semicircle of radius 4r is ______.
ABCD is a given rectangle with length as 80 cm and breadth as 60 cm. P, Q, R, S are the midpoints of sides AB, BC, CD, DA respectively. A circular rangoli of radius 10 cm is drawn at the centre as shown in the following figure. Find the area of shaded portion.
