Mathmatics-problem on areas

  • #1

Main Question or Discussion Point

Four circular cardboard pieces each of radius 7cm are placed in such a way that each piece touches two other pieces.Find the area of the encosed by the four pieces.Can anyone help me to solve this problem?
 

Answers and Replies

  • #2
uart
Science Advisor
2,776
9
1. Draw a diagram

2. Join the centers of the 4 circles to form a square.

3. Look at it and work out what area you need to subtract from the sqaure in order to leave the desired "enclosed area" remaining.
 
  • #3
1,424
1
Alternatively, it should be pretty obvious that the enclosed area is four times a sector given by a circle circumscribed inside a square.
 

Related Threads for: Mathmatics-problem on areas

  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
8
Views
2K
  • Last Post
Replies
5
Views
1K
  • Last Post
Replies
11
Views
1K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
1
Views
21K
Top