Question

A rectangle contains 3 identical circle if each circle has a radius of r then what is the area of the rectangle of the term of r?​

Answer 1

Step-by-step explanation:

so maximum size of 3 identical circles can described in rectangle

imply that

length of rectangle =2r

and its breadth = 6r

so area of the rectangle

is l×b = 2r×6r =>12r^2

Answer 2

Answer:

4(2 + √3)r²

Step-by-step explanation:

In the formed triangle, by Pythagoras theorem,

⇒ OD² = (r + r)² - r²

           = (2r)² - r²

           = 4r² - r²

           = 3r²  

⇒ OD = r√3

Hence, breadth is r + r√3 + r = r(2 + √3)  

length = 2r + 2r = 4r  

           Hence, area is  

⇒ 4r * r(2 + √3)  

⇒ 4(2 + √3)r²  

  Or, 14.92r² or 15r²