Four circular cardboard pieces of radii 7 cm are placed on a paper in such a way that each piece touches other two pieces. Find the area of the portion enclosed between these pieces.
Answers
Answer:area of square formed by joining the centres of four circles - area of 4 equal quadrants i.e. forminga circle
=ar square- ar circle
=14cm×14cm - 22/7×7cm× 7cm
=196cm-154cm
=42cm sq.
Step-by-step explanation:
Dear User!
Question:
Four circular cardboard pieces of radii 7 cm are placed on a paper in such a way that each piece touches other two pieces. Find the area of the portion enclosed between these pieces.
Method of Solution:
Given: Four circular cardboard pieces of radii 7 cm are placed on a paper in such a way that each piece touches other two pieces.
Now,
Area of Square (ABCD) = Side × Side
Area of Square (ABCD) = 14×14 cm²
Area of Square (ABCD) =196m²
Now, There are four Quadrant in a Square which are given in attachment!
Area of 4 Quadrant = (4×1/4×πr²)
Area of 4 Quadrant =22×7 cm²
Area of 4 Quadrant = 154cm²
Therefore, Area of portion= of Square (ABCD) - Area of 4 Square
Area of portion= 196-154 cm²
Area of portion = 42 cm²
Hence, Required Area of portion enclosed between these pieces are 42cm².
