Question

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

Answer 1

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)

Answer 2

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

$\textsf{A}=\pi r^2 \quad \textsf{(where r is the radius)}$

Given:

• r = 35 m
• π = 22/7

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

$\implies \sf A=\dfrac{22}{7} \cdot 35^2$

$\implies \sf A=\dfrac{22}{7} \cdot 1225$

$\implies \sf A=\dfrac{26950}{7}$

$\implies \sf A=3850\:\:m^2$

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