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

Answer:

25/64

Step-by-step 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 :

$=\tt 2\pi r$

$= \tt2 \times 3.14 \times 15$

$= \tt94.2 \: inches$

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 :

$= \tt2\pi r$

$\tt2 \times 3.14 \times 24$

$= \tt150.72$

Thus, the circumference of the large pizza = 150.72 inches

Ratio of the circumferences of the two pizzas :

$= 94.2 : 150.72$

$= \tt\frac{94.2 \times 100}{150.72 \times 100}$

$= \tt \frac{9420}{15072}$

Let us simplify the fraction :

$= \tt\frac{9420}{15072}$

$=\tt \frac{9420 \div 12}{15072 \div 12}$

$= \tt \frac{785}{1256}$

$= \tt\frac{785 \div 157}{1256 \div 157}$

$= \color{plum}{ \tt\frac{5}{8} }$

Thus, the ratio of their circumferences = 5:8

Therefore, the ratio of the circumferences of the pizzas as a fraction $= \color{plum}{ \tt\frac{5}{8} }$