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 radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles.
Three semicircles each of diameter 3 cm, a circle of diameter 4.5 cm and a semicircle of radius 4.5 cm are drawn in the given figure. Find the area of the shaded region
From a circular sheet of radius 4 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet. (Take π = 3.14)
Choose the correct alternative answer for the following question.
A cone was melted and cast into a cylinder of the same radius as that of the base of the cone. If the height of the cylinder is 5 cm, find the height of the cone.
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 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.
The sum of the circumference and diameter of a circle is 176 cm. Find the area of the circle.
Circumference of a circle is always ______.
Ishika has designed a small oval race track for her remote control car. Her design is shown in the figure. What is the total distance around the track? Round your answer to the nearest whole cm.
