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)

The area of cheese is 388π cm.

Step-by-step 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

Put the value into the formula

We need to calculate the area of circle

Using formula of area

Put the value into the formula

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

So. the area of salamis will be

We need to calculate the area of cheese

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

Put the value in to the formula

Hence,  The area of cheese is 388π cm.

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

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step-by-step explanation: