Question

Se cocina una pizza de 20 cm de radio, en su interior se coloca al azar 12 piezas de salami

circular de 1 cm de radio y en al área restante se pondrá queso.
¿Qué área se tiene para el queso? (Expresar el resultado en términos de 7)

Answer 1

The area of cheese is 388π cm.

Explanation:

Given that,

Radius of pizza = 20 cm

Number of pieces = 12

Radius of circle = 1 cm

We need to calculate the area of pizza

Using formula of area

`A=\pi* r^2`

Put the value into the formula

`A=\pi*20^2`

`A=400\pi\ cm^2`

We need to calculate the area of circle

Using formula of area

`A'=\pi* r^2`

Put the value into the formula

`A'=\pi*1^2`

`A'=\pi\ cm^2`

Now, we multiply the result by 12 because they are 12 salamis.

So. the area of salamis will be

`A'=12\pi\ cm^2`

We need to calculate the area of cheese

The total area of ​​the pizza and subtract the area of ​​the salamis

`A''=A-A'`

Put the value in to the formula

`A''=400\pi-12\pi`

`A=388\pi\ cm^2`

Hence, The area of cheese is 388π cm.