Question

the radi of two circle are 3 cm and 4 cm respectively.find the radius of the circle whose area is equal to sum of this area of the two circle

PLEASE TELL ME THE SOLUTION​

Answer 1

Answer:

We know the area of a circle =πr

2

Hence, area of a circle(C

1

) of radius 3 m=

7

22

×(3)

2

Area of a circle(C

2

) of radius 4 m=

7

22

×(4)

2

Given, area of big circle = sum of the areas of circles C

1

and C

2

=

7

22

×3

2

+

7

22

×4

2

=

7

22

×(9+16)

=

7

22

×(25)

Let the radius of the big circle be R.

Area of big circle =πR

2

=

7

22

×(25)

⇒R

2

=25

⇒R=5 m

Answer 2

Answer:

The radius of the Circle whose area is equal to sum of the area of the two circle is 5 cm