Question

The radii of two circles are 3 cm and 4 cm respectively. Find the area of the circle which has
circumference equal to the sum of the circumferences of the two circles.​

Answer 1

Answer:

Step-by-step explanation:

Let r  

1

​

=4cm&r  

2

​

=3cm

Now, area of new circle =πr  

1

2

​

+πr  

2

2

​

 

                                πr  

2

=  

7

22

​

((4)  

2

+(3)  

2

)

                         

7

22

​

×r  

2

=  

7

22

​

×25

                                  r  

2

=25

                                    r=5cm

∴  Diameter of new circle =2r=10cm.