Question

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?

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

Huge

Answer 2

602.32 km²

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