Question

13. The radius of two circles are in the ratio 3:4 and sum of the areas of two cir
equal to the area of third circle. What is the radius of third circle. If the radi
first is 6 cm.​

Answer 1

Answer:

Like please

Step-by-step explanation:

Let the radius of first circle is 3x and second circle is 4x according to the ratio 3:4.

Here given that

radius of first circle =3x= 6cm

x=6/3=2cm

radius of second circle =4x = 4*2=8 cm

Area of first and second circle =πr^2 +πR^2

= (22/7 * 6*6) + 22/7 * 8*8

=792/7 +1408/7

=2200/7 cm^2

Area of third circle = Area of first and second

πr^2= 2200/7

22x7 r^2= 2200/7

r^2 = 2200/7 * 7/22

r^2 = 100

r=10 cm

So radius of third circle is 10 cm