Advertisements
Advertisements
Question
A dinner plate is in the form of circle. A circular region encloses a beautiful design as shown in the given figure. The inner circumference is 352 mm and outer is 396 mm. Find the width of circular design.
Solution
Let the radius of inner and outer circle be rand 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
RELATED QUESTIONS
The inner circumference of a circular track is 220 m. The track is 7m wide everywhere. Calculate the cost of putting up a fence along the outer circle at the rate of j – 2 per metre. (Use π = 22/7)
Find the area of the sector of a circle whose radius is 14 cm and angle of sector is 45º
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 perimeter of a rhombus is 60 cm. If one of its diagonal us 18 cm long, find
(i) the length of the other diagonal, and
(ii) the area of the rhombus.
The area of a minor sector of a circle is 3.85 cm2 and the measure of its central angle is 36°. Find the radius of the circle.
Choose the correct alternative answer for the following question.
The radii of two circles are 19 cm and 9 cm, Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles.
The sum of diameter of two circles is 112 cm and the sum of their areas is 5236 cm2 Find the radii of the two circles.
Find the area and perimeter of the circles with following: Radius = 10.5cm
The sum of the circumference and diameter of a circle is 176 cm. Find the area of the circle.
