The perimeter of a compact disc is 31.4cm calculate its diameter (Take π as 3.14)

Answer 1

To find the diameter of the compact disc, we can use the formula for the perimeter of a circle:

Perimeter = 2πr,

where r is the radius of the circle.

Given that the perimeter is 31.4 cm and π is 3.14, we can rewrite the formula as:

31.4 = 2(3.14)(r).

Simplifying this equation, we have:

31.4 = 6.28r.

Dividing both sides by 6.28, we get:

r = 31.4 / 6.28 = 5 cm.

Finally, the diameter of the compact disc is twice the radius, so the diameter is:

Diameter = 2r = 2(5 cm) = 10 cm.