Question

The diameters of two circles are 56 cm and and 28 cm , respectively . find the radius of the circle which has circumference equal to to the sum of the circumferences of two sides .​

Answer 1

Answer:

Given-

The diameter of the two circles are

d

1

=36 cm⇒ radius r

1

=

2

d

1

=

2

36

cm=18 cm and

d

2

=20 cm⇒ radius r

2

=

2

d

2

=

2

20

cm=10 cm.

∴ The circumference C

1

=2πr

1

=2π×18cm=36π cm and

The circumference C

2

=2πr

2

=2π×10 cm=20π cm

So C

1

+C

2

=(36+20)π cm=56π cm.

This is the circumference C of the resulting circle.

∴C=C

1

+C

2

=56π cm

Let the radius of this circle be r.

Now, the radius of a circle =

2π

circumference

∴r=

2π

56π

cm=28 cm.

Answer 2

Answer:

circumference is for confusing only

radius=d/2

=56/2

=28cm

=28/2

=14cm

hope its helpful