A cake has circumference of 2517inches. What is the area of the cake? Use 227 to approximate π. Round to the nearest hundredth. Enter your answer in the box.

A = 504,401.99 in^2

Step-by-step explanation:

First, we need to find the radius. Since we are given the circumference, let's work backwards and substitute the values we know into the formula for the circumference of a circle.

Substitute:

Divide by 2 on both sides:

/2          /2

Divide by pi on both sides:

/pi            /pi

400.80 ≈ r

Therefore, the radius is approximately 400.8 inches.

Now, we can find the area of the cake.

Substitute into the formula for the area of a circle:

Solve:

Multiply by pi:

A = 504,401.99 in^2

< 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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