In a rectangular field which measures 15m ×8m , cows are tied with a rope of length 3m at four corners of the field and also at the centre. Find the area of the field where none of the cow can graze.
Answers
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.
Rectangle has four right angle at corner. ⇒ 4 Quadrant at corners.
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.
⇒ We have area of 2 complete circle of equal radius which cow graze.
So, Area of field left that none graze = Area of rectangle - 2 × Area of circle
= length × breadth - 2× πr²
= 15 × 8 - 2× 3.14 × 3²
= 120 - 2 × 28.26
= 120 - 56.52
= 63.48 m²
Therefore, Area of field that no cow graze is 68.48 m²
Answer:
63.48
Step-by-step explanation:
area of ungazed field= length * breadth - 2 * area of a circle
= 15 * 8 - 2 * 3.14 * 3 * 3
=120 - 2 * 28.26
=63.48m^2