## PI as a fraction

**Introduction :**

Pi is a constant value which cannot be changed by any one. The pi symbol is denoted by as .The fractional value of pi is 22/7 and its equivalent decimal value is 3.142…Using the value of pi the absolute value of area of a circle can be calculated. When solving the given problem with pi value as a fraction then the result is also in fraction.

Example problem – PI as a fraction:

**Example 1 – PI as a fraction:**

Finding the Area of a Circle

**whose radius is 7cm and Value of pi as a fraction.`Pi`**

**Solution:**

Given that the area of a circle is 7cm.

Value of pi in fraction = `22/7`

Area of a circle = `pi*r^2 .`

= `22/7 * 7^2`

=`22*7`

=`154cm^2.`

**Example 2 – PI as a fraction:**

**Find the circumference of a circle whose radius is 9cm.**

**Solution:**

Given that the radius of a circle is 9 cm.

Value of pi in fraction = `22/7`

Circumference of a circle =` 2 * pi* r`

= `2 * 22/7 * 9`

= `396/7cm^2.`

**Example 3 – PI as a fraction:**

**Find the volume of a sphere whose radius is 3cm.**

**Solution:**

Given that the radius of the sphere is 3cm

Value of pi in fraction = `22/7`

Volume of the sphere = `4/3 * pi* r^3 .`

= `4/3 * 22/7 * 3^3 .`

= `792/7cm^3.`

Few more Example problem – PI as a fraction:

**Example 4 – PI as a fraction:**

**Find the surface area of a sphere whose radius is 6cm.**

**Solution:**

Given that the radius of the sphere is 6cm

Value of pi in fraction = `22/7`

Surface area of a sphere = `4 *pi*r^2 .`

= `4 * 22/7 * 6^2 `

=`3168/7cm^3` .

**Example 5 – PI as a fraction:**

**Find the volume of hemisphere whose radius is 9cm.**

**Solution:**

Given that the radius of the hemisphere is 9cm.

Value of pi in fraction = `22/7`

Volume of hemisphere = `2/3*pi*r^3`

= `2/3 *22/7 * 9^3.`

=`396/7cm^3.`

**Example 6 – PI as a fraction:**

**Find the surface area of a hemisphere whose radius is 12cm.**

**Solution:**

Given that the radius of the hemisphere is 9cm.

Value of pi in fraction =` 22/7`

Surface area of a hemisphere = `2*pi*r^2 .`

= `2 * 22/7 * 12^2`

=`6336/7cm^2`