Question

A round cake has a diameter of 30 cm. Angela places the cake on a circular cake board with a diameter 5 cm longer than that of the cake. What is the circumference of the cake board? Give your answer in terms of pi π

Answer 1

Answer:  Circumference of cake board is 35π cm.

Step-by-step explanation:

Since we have given that

Diameter of a round cake = 30 cm

Diameter of a cake board is 5 cm longer than the diameter of a round cake.

So, Diameter of a cake board = 30+5=35 cm

So, radius of a cake board will be

$r=\frac{35}{2}$

As we know the formula for " Circumference of Circle ":

So, According to question, we get,

$C=2\pi r\\\\C=2\pi\times \frac{35}{2}\\\\C=35\pi$

Hence, Circumference of cake board is 35π cm.