Advertisements
Advertisements
प्रश्न
A dinner plate is in the form of circle. A circular region encloses a beautiful design as shown in the following figure. The inner circumference is 352 mm and outer is 396 mm. Find the width of circular design.
Advertisements
उत्तर
Let the radius of inner and outer circle be r and R, respectively.
Given, inner circumference = 352 mm
⇒ 2πr = 352 ...[∵ Circumference = 2πr]
⇒ `2 xx 22/7 xx r = 352`
⇒ `r = (352 xx 7)/(2 xx 22) = 2464/44` = 56 mm
And outer circumference = 396 mm ...[Given]
⇒ 2πr = 396
⇒ `2 xx 22/7 xx R = 396`
⇒ R = `(396 xx 7)/(2 xx 22)` = 63 mm
∴ Width of circular design = R – r = 63 – 56 = 7 mm
APPEARS IN
संबंधित प्रश्न
The length of minute hand of a clock is 14 cm. Find the area swept by the minute hand in one minute. (Use π = 22/7)
A sheet of paper is in the form of rectangle ABCD in which AB = 40cm and AD = 28 cm. A semicircular portion with BC as diameter is cut off. Find the area of remaining paper.
The length of a chain used as the boundary of a semicircular park is 108 m. Find the area of the park.
A race track is in the form of a rig whose inner circumference is 352 m and outer circumference is 396 m. Find the width and the area of the track.
If the perimeter of a square is equal to the circumference of a circle then the ratio of their areas is
The circumference of a circle is equal to the perimeter of a square. The area of the square is 484 sq. m. Find the area of the circle.
A hollow metallic cylindrical tube has an internal radius of 3.5 cm and height 21 cm. The thickness of the metal tube is 0.5 cm. The tube is melted and cast into a right circular cone of height 7 cm. Find the radius of the cone, correct to one decimal place.
A circus tent is cylindrical to a height of 5 m and conical above it. If its diameter is 42 m and slant height of the cone is 53 m, calculate the total area of the canvas required.
The perimeter of a square and the circumference of a circle are equal. If the length of each side of the square is 22 cm, find:
(i) perimeter of the square.
(ii) circumference of the circle.
(iii) radius of the circle.
The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm is ______.
