Advertisements
Advertisements
प्रश्न
Find the area of the biggest circle that can be cut from a rectangular piece 44cm by 28cm. also, find the area of the paper left after cutting out the circle.
Advertisements
उत्तर
The area of a rectangle with length l and breadth b = A = l x b
The area of a rectangle with length 44cm and breadth 28cm
= A
= 44 x 28
= 1232cm2
The largest circle that can be cut from a rectangle of length 44cm and breadth 28cm can have diameter 28cm or radius `(28)/(2)` = 14cm
The Area of a Circle with radius r = πr2
The Area of a Circle with radius 14
= π(14)2
= 616cm2
Remaining area
= 1232cm2 - 616cm2
= 616cm2.
APPEARS IN
संबंधित प्रश्न
The cost of painting the four walls of a room 12 m long at `₹ 30 per m^2 is ₹ 7560 per m^2` and the cost of covering the floor with the mat at ₹` 25 per m^2 is ₹ 2700 `. find the dimensions of the room.
The cost of fencing a square lawn at ₹ 14 per meter is ₹ 28000. Find the cost of mowing the lawn at ₹ 54 100 per `m^2`
In the following figure, ABCD is a rectangle, having AB = 20 cm and BC = 14 cm. Two sectors of 180° have been cut off. Calculate:
the length of the boundary of the shaded region.
Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular card board of dimensions 14 cm × 7 cm. Find the area of the remaining card board. (Use π = 22/7).
In the following figure, the boundary of the shaded region consists of four semi-circular arcs, the smallest two being equal. If the diameter of the largest is 14 cm and of the smallest is 3.5 cm, find
- the length of the boundary.
- the area of the shaded region.
The ratio of the outer and inner perimeters of a circular path is 23 : 22. If the path is 5 metres wide, the diameter of the inner circle is
The ratio of the areas of a circle and an equilateral triangle whose diameter and a side are respectively equal, is
In the given figure, a circle is inscribed in an equilateral triangle ABC of side 12 cm. Find the radius of inscribed circle and the area of the shaded region.
[Use `sqrt(3)= 1.73, pi = 3.14]`
The given figures show a rectangle ABCD inscribed in a circle as shown alongside.
If AB = 28 cm and BC = 21 cm, find the area of the shaded portion of the given figure.
The diameters of three wheels are in the ratio 2 : 4 : 8. If the sum of the circumferences of these circles be 132 cm, find the difference between the areas of the largest and the smallest of these wheels.
