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
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.
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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