Question

A round cake has a diameter of 30\text{ cm}30 cm30, start text, space, c, m, end text. Angela places the cake on a circular cake board with a diameter 5 \text{ cm}5 cm5, start text, space, c, m, end text longer than that of the cake.

Answer 1

Answer:

The circumference of the cake board is 35π cm.

Step-by-step explanation:

The question is incomplete, so the complete question is below:

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 π.

Now, to find the circumference of the cake board.

As, given diameter of cake = 30 cm.

And diameter of cake board is 5 cm longer than that of the cake.

Thus, the diameter of cake board is:

$30\ cm+5\ cm=35\ cm.$

So, to find the circumference we need radius, by putting formula:

$Radius(r)=\frac{Diameter}{2}$

$Radius(r)=\frac{35}{2}$

$Radius(r)=17.5\ cm.$

Now, to get the circumference of the cake board we put formula:

$Circumference=2\pi r.$

$Circumference=2\times \pi \times 17.5$

$Circumference=35\pi \ cm.$

Therefore, the circumference of the cake board is 35π cm.