Question

The difference between the circumference and the diameter of a circular bangle is 5 cm. Find the radius of the bangle.

Answer 1

Given:- difference between the circumference and diameter of a circular bangle is 5cm.

To Find:- radius of the bangle.

Solution :-

Let 'r' be considered as radius of circular bangle here.

As we know that circumference of circle is 2πr and diameter of circle is equal to the twice of radius, 2r.

Now, according to question,

⇒ 2πr - 2r = 5cm

⇒ 2r(π - 1) = 5cm

⇒ r = 5 / 2(π-1)

⇒ r = 5 / 2( 22/7-1 )

⇒ r = 5 × 7 / 2 × 15

⇒ r = 7 / 6

⇒ r = 1.16cm

Therefore, radius of the bangle is 1.16cm.

Answer 2

Answer:

Given :-

• The difference between the circumference and diameter of a circular bangle Is 5 cm.

To Find :-

• What is the radius of the bangle.

Solution :-

Let, the radius be r

According to the question,

⇒ 2πr - 2r = 5

As we know that, π = 22/7

⇒ 2 × 22/7 × r - 2r = 5

⇒ 44/7 × r - 2r = 5

⇒ 44r/7 - 2r = 5

⇒ 44r - 14r/7 = 5

⇒ 30r/7 = 5

⇒ 30r = 7 × 5

⇒ 30r = 35

⇒ r = 35/30

➠ r = 1.16 cm

∴ The radius of the bangle is 1.16 cm .