Question

a circular cake is split into four quarters. if the diameter of the cake is 25 cm, how long is the perimeter of each piece?

Answer 1

(6.25
`\pi` + 25)cm is the exact answer

44.625 cm is an approximation

Explanation:

c = circumference (perimeter)

d = diameter

C =
`(\pi d)/(4)`

C =
`(25\pi )/(4)` = 6.25
`\pi` This is the exact answer

That would be the curved part of the pi. Then we need to add the 2 sides which would be
`(25)/(2)` +
`(25)/(2)` =
`(50)/(2)` = 25 The sides are the length of the radius which is half of the diameter.

(6.25
`\pi` + 25)cm is the exact answer

If we use 3.14 for
`\pi` The approximate answer would be:

6.25(3.14) + 25

19.625 + 25

44.625 cm is an approximation