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A tree trunk is cut to reveal a circular cross-section of radius 60 cm. Is the area of the cross-section more than 1 m2 and, if so, by how much? Round your answer to the nearest whole number of cm2.

User Sindyr
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2 Answers

5 votes

Answer:

Explanation:

12+2

User Stevan Tosic
by
8.2k points
3 votes

Answer:

The area is more than 1 m² by about 1311 cm²

Explanation:

The radius of the circular cross-section is given as 60 cm. The formula to calculate the area of a circle is A = πr^2, where "r" is the radius of the circle.

Given that the radius of the circular cross-section is 60 cm, we can calculate its area:

A = π * (60 cm)^2

A = π * 3600 cm^2

A ≈ 11309.73 cm^2

Now, let's convert the area to square meters:

1 m^2 = 10000 cm^2

So, the area in square meters is:

A_m2 = 11309.73 cm^2 / 10000 cm^2/m^2

A_m2 ≈ 1.13097 m^2

The area of the circular cross-section is approximately 1.13097 m^2. Since we're looking for an answer rounded to the nearest whole number of cm^2, the area is 1131 cm^2 greater than 1 m^2.

User Yajo
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