Question

The circumference of a circle is 220cm. Find the diameter of the circle.​

Answer 1

Given :–

• Circumference of a circle = 220cm.

To Find :–

• Diameter of the circle.

Solution :–

First, we need to find the value of r.

Let,

The radius of the circle be r.

We know that,

Circumference of the circle = 220cm.

⟹ 2πr = 220cm

⟹ 2 × $\dfrac{22}{7}$ × r = 220

⟹ r = $\dfrac{\cancel{220} \times 7}{2 \times \cancel{22}}$

⟹ r = $\dfrac{\cancel{110} \times 7}{2 \times \cancel{11}}$

⟹ r = $\dfrac{\cancel{10} \times 7}{\cancel2}$

⟹ r = 5 × 7

⟹ r = 35cm

Now, we have to find the diameter of the circle,

Diameter = 2r

• r = 35cm

So,

⟹ 2(35)

⟹ 70cm

Hence,

The diameter of the circle is 70cm.

Answer 2

Answer:

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Step-by-step explanation:

Given :–

Circumference of a circle = 220cm.

To Find :–

Diameter of the circle.

Solution :–

First, we need to find the value of r.

Let,

The radius of the circle be r.

We know that,

Circumference of the circle = 220cm.

⟹ 2πr = 220cm

⟹ 2 ×  × r = 220

⟹ r =  

⟹ r =  

⟹ r =  

⟹ r = 5 × 7

⟹ r = 35cm

Now, we have to find the diameter of the circle,

Diameter = 2r

r = 35cm

So,

⟹ 2(35)

⟹ 70cm

Hence,

The diameter of the circle is 70cm.