How to find the area enclosed by four circular pieces touching each other?

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In summary, the formula for finding the area of a rectangle is length x width, while the formula for finding the area of a triangle is 1/2 x base x height. Perimeter is the distance around the outside of a shape while area is the measurement of the space inside a shape. To find the area of a circle, the formula is pi x radius^2. Math can be used to solve real-world problems involving area by breaking down the problem and using appropriate formulas and conversions.
  • #1
suhaskowshik_92
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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?
 
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  • #2
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
Alternatively, it should be pretty obvious that the enclosed area is four times a sector given by a circle circumscribed inside a square.
 

Related to How to find the area enclosed by four circular pieces touching each other?

1. What is the formula for finding the area of a rectangle?

The formula for finding the area of a rectangle is length x width. This means that to find the area, you multiply the length of one side by the width of the other side.

2. How do you find the area of a triangle?

The formula for finding the area of a triangle is 1/2 x base x height. The base and height are the two sides of the triangle that meet at a right angle.

3. What is the difference between perimeter and area?

Perimeter is the distance around the outside of a shape, while area is the measurement of the space inside a shape. Perimeter is measured in linear units, while area is measured in square units.

4. How do you find the area of a circle?

The formula for finding the area of a circle is pi x radius^2. Pi is a mathematical constant that is approximately equal to 3.14, and the radius is the distance from the center of the circle to its edge.

5. How can I use math to solve real-world problems involving area?

Math can be used to solve real-world problems involving area by breaking down the problem into smaller, more manageable parts. This may involve drawing diagrams, using formulas, or making conversions between different units of measurement. It's important to read the problem carefully and identify what information is given and what is being asked for in order to determine the appropriate math methods to use.

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