Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
The circumference of a circle exceeds its diameter by 45 cm. Find the circumference of the circle.
Find the area of a quadrant of a circle whose circumference is 88 cm.
The circumferences of two circles are in the ratio 3 : 4. The ratio of their areas is ______.
Find the area enclosed between two concentric cirdes of radii 6.3 cm and 8.4 cm. A third concentric circle is drawn outside the 8.4 cm circle, so that the area enclosed between it and 8.4 cm cirde is the same as that between two inner circles. Find the radii of the third circle correct to two decimal places .
The cost of fencing a circular field at the rate of ₹ 240 per meter is ₹ 52,800. The field is to be ploughed at the rate of ₹ 12.50 per m2. Find the cost of pouching the field.
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.
In the adjoining figure, the crescent is formed by two circles which touch at the point A. O is the centre of bigger circle. If CB = 9 cm and DE = 5 cm, find the area of the shaded portion.
A wheel of a car covers a distance of 3520 cm in 20 rotations. Find the radius of the wheel?
The area of a quadrant of a circle whose circumference is 22 cm, is ____________.
The moon is about 384000 km from earth and its path around the earth is nearly circular. Find the length of path described by moon in one complete revolution. (Take π = 3.14)
