Question

The radii of two circles are 24 cm and 7cm respectively. Find the diameter of the new circle which has area of new circle equal to the sum of the area of the two circles.​

Answer 1

Answer:

Step-by-step explanation:

The radius of circles is 7cm,24cm

Area of smaller circle is πr  

2

 

⟹π×7  

2

 

⟹49π

Area of Larger circle is πr  

2

 

⟹π×24  

2

 

⟹576π

Area of required circle ⟹576π+49π

⟹625π

Radius of circle is given by  

root625

​

=25

Answer 2

Answer: So in the question it is said that

Area of circle 1 + Area of circle 2 = Area of new circle

SO Area of circle is π$r^{2}$

So πr1^2 + πr2^2 = πR^2

As π is common it is ejected out....

so our equation is r1^+r2^2 = R^2

                             (24)^2 + (7)^2 = 576+49

                           And R^2 = 625

                                   R =  $\sqrt{625}$

                                  R = 25

SO diameter = R*2 = 25*2 = 50

Step-by-step explanation:  Therefore diameter = 50 cm ,hope it helps