Question

eeek i have no idea what im doing and i have like ten more questions to answer :( and i have no idea what im doing

Answer 1

25/64

Explanation:

C=πd

find diameter:

small= 15 x 15= 225

large= 24 x 24= 576

multiply:

225 x 3.14= 706.5

576 x 3.14= 1808.64

ratio:

706.5/1808.64

reduce:

25/64

Answer 2

Length of the radius of the small pizza = 15 inches

Circumference of the small pizza :

`=\tt 2\pi r`

`= \tt2 * 3.14 * 15`

`= \tt94.2 \: inches`

Thus, the circumference of the small pizza = 94.2 inches

Length of the radius of the large pizza = 24 inches

Circumference of the large pizza :

`= \tt2\pi r`

`\tt2 * 3.14 * 24`

`= \tt150.72`

Thus, the circumference of the large pizza = 150.72 inches

Ratio of the circumferences of the two pizzas :

`= 94.2 : 150.72`

`= \tt(94.2 * 100)/(150.72 * 100)`

`= \tt (9420)/(15072)`

Let us simplify the fraction :

`= \tt(9420)/(15072)`

`=\tt (9420 / 12)/(15072 / 12)`

`= \tt (785)/(1256)`

`= \tt(785 / 157)/(1256 / 157)`

`= \color{plum}{ \tt(5)/(8) }`

Thus, the ratio of their circumferences = 5:8

Therefore, the ratio of the circumferences of the pizzas as a fraction
`= \color{plum}{ \tt(5)/(8) }`