Question

The difference between circumference and the radius of the circle is 37cm then find the length of its
radius is

Answer 1

Answer:

So the value of radius is 7.007 cm

Step-by-step explanation:

Given:

Difference between circumference and radius of circle = 37 cm

To Find :

Radius =r = ?

Solution:

Now we know that for a circle

Circumference of circle is given by the formula

Circumference = 2πr

and radius of the circle = r

Their difference would be

Difference = Circumference - radius

                  = 2πr - r

Now difference = 37 cm

So

it becomes

37 = 2πr - r

Taking r common from RHS

37 = r ( 2π -1)

As value of π =3.14

so

37 = r ( 2(3.14)-1))

37 = r(6.28-1)

37 = 5.28 r

or

5.28 r = 37

Dividing both sides by 5.28

$\frac{5.28*r}{5.28}=\frac{37}{5.28}$

r= 7.007 cm

So the value of radius is 7.007 cm