tthompson61481
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A large planetarium in the shape of a dome is being built. When it is complete, the base of the dome will have a circumference of 87 kilometers. What area of land was required for this planetarium?

Respuesta :

Area = pi * r^2, circumference = 2*pi*r, u need to get 'r' the radius:

r = 87 km / 2 / pi = 13.846 km,

Now the areas is:

A = pi * 13.486^2 = 602.32188213127836 km^2 = 602.32 km^2

Huge

Answer:

602.32 km²

Step-by-step explanation:

First, find the radius of the circle using the circumference formula

C = 2π*r

87 = 2π*r

∴ r = 13.8465 km

Second, using the radius, calculate the area:

A = π * r²

A = π * 13.8465²

A = 602.32 km ²

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