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?

Question

Mathematics

Destinee Fletcher

Today, 03:58

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?

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Douglas Winters · Answer 1

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

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