Question

The circumference of a circle is 9.28cm.
Find the length of the diameter.
Give your answer rounded to 2 DP.
plzzz help me.

Answer 1

Answer :

›»› The length of the diameter of a circle is 2.94 cm.

Step-by-step explanation :

Given :

• Circumference of circle = 9.28 cm.

To Find :

• Diameter of a circle = ?

Formulae applied :

Formula of circumference of circle to calculate the radius of a circle is given by,

→ Circumference of circle = 2πr.

Here,

• The value of π is 22/7.
• r is the radius of circle.

Formula to calculate the diameter of a circle is given by,

→ d = 2r.

Here,

• d is the diameter of circle.
• r is the Radius of circle.

How to solve?

Here in this question we have to find the diameter of a circle in decimal point. So, firstly we need to find the radius of a circle after that, we will find the diameter of a circle on the basis of conditions given above.

We can use the formula of circumference of circle to calculate the radius of a circle.

We can use the formula of diameter to calculate the diameter of a circle.

Solution :

We know that, if we are given with the circumference of circle then we have the required formula, that is,

→ Circumference of circle = 2πr.

By using the formula of circumference of circle to calculate the radius of a circle and substituting the given values in the formula, we get :

→ 9.28 = 2 × 22/7 × r

→ 9.28 × 7 = 2 × 22 × r

→ 64.96 = 2 × 22 × r

→ 64.96 = 44 × r

→ 64.96 = 44r

→ 44r = 64.96

→ r = 64.96/44

→ r = 1.47636364

→ r ≈ 1.47.

Now,

We know that, if we are given with the radius of circle then we have the required formula, that is,

→ d = 2r.

By using the formula to calculate the diameter of circle and substituting the given values in the formula, we get :

→ d = 1.47 × 2

→ d = 2.94.

Hence, the diameter of a circle is 2.94 cm.