Advertisements
Advertisements
प्रश्न
A plot is in the form of a rectangle ABCD having semi-circle on BC as shown in Fig. 20.23. If AB = 60 m and BC = 28 m, find the area of the plot.
Advertisements
उत्तर

Total area of the plot = Area of rectangle ABCD + Area of semicircle with radius \[(r = \frac{28}{2} = 14m)\]
∴ Area of the rectangular plot with sides 60m and\[ 28m = 60 \times 28 = 1680 m^2 . . . (i)\]
And, area of the semicircle with radius \[14m = \frac{1}{2}\pi \times (14 )^2 = \frac{1}{2} \times \frac{22}{7} \times 14 \times 14 = 308 m^2 . . . (ii)\]
∴ Total area of the plot \[ = 1680 + 308 = 1988 m^2\] . . . (from (i) and (ii))
APPEARS IN
संबंधित प्रश्न
Mrs. Kaushik has a square plot with the measurement as shown in the following figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of Rs 55 per m2.

A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area 1080 m2? (If required you can split the tiles in whatever way you want to fill up the corners).
A playground has the shape of a rectangle, with two semi-circles on its smaller sides as diameters, added to its outside. If the sides of the rectangle are 36 m and 24.5 m, find the area of the playground. (Take π = 22/7).
The length and the breadth of a rectangular plot are 135 m and 65 m. Find, its perimeter and the cost of fencing it at the rate of ₹60 per m.
A wire is in the shape of square of side 20 cm. If the wire is bent into a rectangle of length 24 cm, find its breadth.
The area of a parallelogram is 60 cm2 and one of its altitudes is 5 cm. The length of its corresponding side is ______.
The perimeter of a rectangle becomes ______ times its original perimeter, if its length and breadth are doubled.
The length of an aluminium strip is 40 cm. If the lengths in cm are measured in natural numbers, write the measurement of all the possible rectangular frames which can be made out of it. (For example, a rectangular frame with 15 cm length and 5 cm breadth can be made from this strip.)
Which branch of mathematics deals with the measurement of length, area, volume, and surface area of geometric figures?
Which of the following is an example of a closed figure?
