Question

An Olympic gold medal has a diameter of 85mm. What is the distance around the medal?​

Answer 1

267.94 mm

Explanation:

The distance around a circle is called the circumference. The formula for the circumference of a circle is given by:

Circumference (C) = 2πr, where r is the radius of the circle.

Given the diameter (d) of the Olympic gold medal is 85 mm, we can find the radius (r) by dividing the diameter by 2:

85mm / 2 = 42.5mm.

Now, plug the radius value into the formula for the circumference:

Circumference (C) = 2π × 42.5mm ≈ 267.94mm

So, the distance around the Olympic gold medal (circumference) is approximately 267.94 mm.

Answer 2

267.03 mm.

Explanation:

The distance around the medal is also known as the circumference of the medal which is a circle. So,

The formula for the circumference of a circle is:

`\sf C= 2\pi r \textsf{ or } \pi d`

where:

• c is the circumference
• π is equal to 3.141592654
• d is the diameter
• r is the radius

Since we have diameter(d) is 85mm.

Using formula:

`\sf \sf C= \pi d`

Substituting value `

`\sf C = \pi * 85`

`\sf C = 3.141592654 * 85`

`\sf C = 267.0353756 mm`

`\sf C = 267.03\textsf{ mm in 2. d.p}`

So, the distance around the medal is 267.03 mm.