Question

rectangular field 15m×8m cows tied with a rope of length 3m at four corners of field and also centre area of field none of cow graze

Answer 1

Answer:

Area of field that no cow graze is 68.48 m²

Step-by-step explanation:

Given:

Dimensions of Rectangular field, Length = 15 m and Breadth = 8 m

Length of the rope = 3 m

To find: Area of field none cow graze.

4 cows ate 4 corner of rectangle field and 1 at center is tied.

Rectangle has four right angle at corner.

So, There are four quadrant in 4 corner and 1 complete circle at center.

We know that combining 4 quadrant we have a complete circle.

So, Area of field left that none graze = Area of rectangle - Area of circle - Area of circle

                                            = length × breadth - πr²  - πr²

                                            = 15 × 8 - 3.14 × 3²  - 3.14 × 3²

                                            = 120 - 28.26  - 28.26

                                            = 120 - 56.52

                                            = 63.48 m²

Therefore, Area of field that no cow graze is 68.48 m²