Math, asked by devanshjaisalmeria14, 20 hours ago

Four circles each of radius 'a' are drawn such that each circle touch externally two of the remaining three circles. Find the area between them.​

Answers

Answered by jkjaipranesh805
0

Answer:

Four circles each of radius 'a' are drawn such that each circle touch externally two of the remaining three circles. Find the area between them.

Step-by-step explanation:

Four circles each of radius 'a' are drawn such that each circle touch externally two of the remaining three circles. Find the area between them.

Four circles each of radius 'a' are drawn such that each circle touch externally two of the remaining three circles. Find the area between them.

Four circles each of radius 'a' are drawn such that each circle touch externally two of the remaining three circles. Find the area between them.

Answered by amitnrw
0

Given :  Four circles each of radius 'a' are drawn such that each circle touch externally two of the remaining three circles.

To Find :  the area between them

Solution:

On joining centers of adjacent circle

figure formed will be a square   of side 2a

Area of square = (2a)²  = 4a²

area between circles  = Area of that square - 4 * area of one sector of each circle o

Angle of sector of circle = 90°

=  4a²  - 4 * (90/360) πa²

=  a² (4 - π)

a² (4 - π) is the area between them.​

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