Question

The circumference of a circle is 9.58cm.
Find the length of the diameter.
Give your answer rounded to 2 DP.

Answer 1

Answer :

›»› The diameter of a circle is 3.04 cm.

Step-by-step explanation :

Given :

• Circumference of a circle = 9.58 cm.

To Find :

• Diameter of a circle = ?

Formula required :

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 need to find the diameter of a circle. So, firstly we need to find the radius of a circle after that, we will find the diameter of a circle.

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

We can use formula 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 :

→ 9.58 = 2 × 22/7 × r

→ 9.58 × 7 = 2 × 22 × r

→ 67.06 = 2 × 22 × r

→ 67.06 = 44 × r

→ 67.06 × 44r

→ 44r = 67.06

→ r = 67.06/44

→ r = 1.52409091

→ r ≈ 1.52.

Now,

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

→ d = 2r.

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

→ d = 2 × 1.52

→ d = 3.04.

Hence, the diameter of a circle is 3.04 cm.

Answer 2

Given:-

$\bigstar$The circumference of the circle = 9.58 cm.

To Find:-

$\bigstar$Length of the diameter.

Solution:-

$\bigstar$We know,

$\bigstar$Circumference of the circle = 2πr

$\\ \longmapsto \tt \: 9.58 = 2 \ \left(\frac{22}{7} \right) \times r$

$\\ \longmapsto \tt \: 9.58 \times 7 =\ 44\times r$

$\\ \longmapsto \tt \: \frac{67.06}{44} =r$

$\\ \longmapsto \tt \: r = 1.52$

$\bigstar$Diameter = 2 × r

$\\ \longmapsto \tt \: = 1.52 \times 2 = 3.04$

$\bigstar$Diameter of the circle is 3.04 cm