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A town on the coast is building a lighthouse that is 27 meters tall. Determine the area of the circular base of the lighthouse if the radius of the base is 35 meters. Use 22/7 for pi. WILL GIVE BRAINLIEST

A. 220 m2

B, 3,830 m2

C.103,950 m2

D.15,400 m2

Respuesta :

mhanifa

Answer:

  • B. 3850 m²

Step-by-step explanation:

Use the equation of area of circle:

  • A = πr²

Substitute π with 22/7 and r with 35 m as per question.

Find the area:

  • A = 35²*(22/7) = 3850 m²

Correct choice is B (with slight difference)

semsee45

Answer:

B.  3850 m²

Step-by-step explanation:

The area of the base of the lighthouse can be modeled as a circle.

Area of a circle

[tex]\textsf{A}=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]

Given:

  • r = 35 m
  • π = 22/7

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=\dfrac{22}{7} \cdot 35^2[/tex]

[tex]\implies \sf A=\dfrac{22}{7} \cdot 1225[/tex]

[tex]\implies \sf A=\dfrac{26950}{7}[/tex]

[tex]\implies \sf A=3850\:\:m^2[/tex]

Therefore, the area of the circular base of the lighthouse is 3850 m²

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