Advertisements
Advertisements
प्रश्न
Four circles are drawn side by side in a line and enclosed by a rectangle as shown below. If the radius of each of the circles is 3 cm, then calculate:
(i) The area of the rectangle.
(ii) The area of each circle.
(iii) The shaded area inside the rectangle.
Advertisements
उत्तर
Given radius of a circle r = 3 cm
Diameter of the circle = 2r
= 2 × 3
= 6 cm
Breadth of the rectangle = Diamter of the circle
B = 6 cm
Length of the rectangle L = 4 × diameter of a circle
L = 4 × 6
L = 24 cm
(i) Area of the rectangle = L × B sq.units
= 24 × 6 cm2
Area of the rectangle = 144 cm2
(ii) Area of the circle = πr2 sq.units
= `22/7 xx 3 xx 3 "cm"^2`
= `198/7 "cm"^2`
= 28.28 cm2
(iii) Area of the shaded area = Area of the rectangle – Area of the 4 circles
= `144 - (4 xx 198/7) "cm"^2`
= `144 - 792/7 "cm"^2`
= 144 – 113.14 cm2
= 30.85 cm2
APPEARS IN
संबंधित प्रश्न
Find the area of a circular pathway whose outer radius is 32 cm and inner radius is 18 cm.
A school ground is in the shape of a circle with radius 103 m. Four tracks each of 3 m wide has to be constructed inside the ground for the purpose of track events. Find the cost of constructing the track at the rate of ₹ 50 per sq.m
A rectangular garden has dimensions 11 m × 8 m. A path of 2 m wide has to be constructed along its sides. Find the area of the path
A picture is painted on a ceiling of a marriage hall whose length and breadth are 18 m and 7 m respectively. There is a border of 10 cm along each of its sides. Find the area of the border
A canal of width 1 m is constructed all along inside the field which is 24 m long and 15 m wide. Find (i) the area of the canal (ii) the cost of constructing the canal at the rate of ₹ 12 per sq.m.
The formula used to find the area of the rectangular path is
A path 2 m long and 1 m broad is constructed around a rectangular ground of dimensions 120 m and 90 m respectively. Find the area of the path
A circular path has to be constructed around a circular lawn. If the outer and inner circumferences of the path are 88 cm and 44 cm respectively, find the width and area of the path
A cow is tethered with a rope of length 35 m at the centre of the rectangular field of length 76 m and breadth 60 m. Find the area of the land that the cow cannot graze?
A path 5 m wide runs along the inside of the rectangular field. The length of the rectangular field is three times the breadth of the field. If the area of the path is 500 m2 then find the length and breadth of the field
