Advertisements
Advertisements
प्रश्न
A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, its radius is ______.
पर्याय
22 cm
14 cm
11 cm
7 cm
Advertisements
उत्तर
A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, its radius is 14 cm.
Explanation:
Given, side of a square = 22 cm
Perimeter of square and circumference of circle are equal, because the wire has same length.
According to the question,
Perimeter of square = Circumference of circle
⇒ 4 × (Side) = 2 × π × r
⇒ 4 × 22 = `2 xx 22/7 xx r` ...`[∵ π = 22/7]`
⇒ r = `(4 xx 22 xx 7)/(2 xx 22)`
⇒ r = 14 cm
Hence, the radius is 14 cm.
APPEARS IN
संबंधित प्रश्न
All the vertices of a rhombus lie on a circle. Find the area of the rhombus, if the area of the circle is 1256 cm2. (Use π = 3.14)
The short and long hands of a clock are 4 cm and 6 cm long respectively. Find the sum of distances travelled by their tips in 2 days. (Take π = 22/7)
Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the radius of that circle. Also find its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more area, the circle or the square? (Take `pi = 22/7`)
Find the circumference of the inner and the outer circles, shown in the adjoining figure? (Take π = 3.14)
A field is in the form of circle. A fence is to be erected around the field. The cost of fencing would to Rs. 2640 at rate of Rs.12 per metre. Then the field is to be thoroughs ploughed at cost of Rs. 0.50 per m2. What is amount required to plough the field?
In circle of radius 6cm, chord of length 10 cm makes an angle of 110° at the centre of circle find Length of arc
A horse is placed for grazing inside a rectangular field 70 m by 52 m. It is tethered to one corner by a rope 21 m long. On how much area can it graze? How much area is left ungrazed?
The radius of two circles are in the ratio 3 : 5, find the ratio between their circumferences.
Ratio of circumference of a circle to its radius is always 2π : 1.
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.
