Examples Related to Pi Formula

Example 1: A person measured the perimeter of the circular section of pipe as 84 inches. Calculate the diameter using the pi formula?

Solution:

Given:

• Perimeter of a circular pipe = 84 inches

By Using pi formula,

We have,

Pi(π) = (Circumference / Diameter)

3.14 = (84 / Diameter)

Diameter = (84 / 3.14)

= 26.75 = 27 inches (approx)

Therefore the diameter  of pipe is 27 inches

Example 2: If the Radius of the circular shape is 5 cm then find out the circumference by using the pi formula?

Solution:

Given:

• Radius of a circular shape (r) = 5 cm

Diameter = 2r = 2 × 5 = 10 cm

By Using pi formula,

We have,

Pi(π) = (Circumference / Diameter)

3.1415 = (circumference / 10)

Circumference = (3.14 × 10) = 31.4 cm

Therefore, circumference of circular shape is 31.4 cm

Example 3: If the Radius is 6 cm then find out the circumference by using the pi formula?

Solution:

Given:

• Radius of a circular shape (r) = 6 cm
• Diameter = 2r = 2 × 6 = 12 cm

By Using pi formula,

We have,

Pi(π) = (Circumference / Diameter)

3.1415 = (circumference / 12)

Circumference = (3.14 × 12) = 37.68 cm

Therefore circumference of circular shape is 37.68 cm

Example 4: A perimeter of the circular park is 70 cm. Calculate the diameter of the same using the pi formula.

Solution:

Given:

• Perimeter of a ball = 70 cm

By Using pi formula,

We have,

Pi(π)  = (Circumference / Diameter)

3.1415 = (70 / Diameter)

Diameter = (70 / 3.14) = 22.29 cm

Therefore the diameter of ball is 22.29 cm

Example 5: If the diameter is 7 cm find out its circumference?

Solution:

Given:

• Diameter = 7 cm

To find the circumference?

Pi(π) = (Circumference / Diameter)

3.1415  = (Circumference / 7)

Circumference = (3.14 × 7) = 21.98 cm =  22 cm

Example 6: A circle has a radius of 5 cm. Calculate its diameter, area, and circumference?

Solution:

Given:

• Radius(r) = 5 cm
• Diameter of a circle = 2r = 2 × 5 cm = 10 cm

Area of a circle  =  π r²

π 5² = π × 25

= 3.14159 × 25

= 78.54 cm²

Circumference of a circle = 2 π r

= 2 × π × 5

= 10 × 3.14159

= 31.4159 cm

Example 7: Find the volume of a sphere whose radius is 6 cm?

Solution:

 Given:

• Radius, r = 6 cm

Volume of a Sphere = 4/3 πr³ units³

V = 4/3 × 3.14 × 6³

V = 4/3 × 3.14 × 216

V =  2712.96 / 3

V = 904 .32 cm³

Pi formulas are used to calculate the value of Pi(π). If the circumference and diameter of a circle are known, we can use them to compute the value of Pi(π). Pi is a Greek letter whose sign is π, and it is the ratio of the circumference of any circle to its diameter in geometry.