What is the lateral area of the cone to the nearest whole number? the figure is not drawn to scale.
need !

  25,133 m^2

Step-by-step explanation:

The lateral area of a cone is found using the slant height (s) and the radius (r) in the formula ...

  A = πrs

So, we need to know the radius and the slant height.

The radius is half the diameter, so is (160 m)/2 = 80 m.

The slant height can be found using the Pythagorean theorem:

  s^2 = r^2 + (60 m)^2 = (80 m)^2 +(60 m)^2 = (6400 +3600) m^2

  s = √(10,000 m^2) = 100 m

Now, we can put these values into the formula to find the lateral area:

  A = π(80 m)(100 m) = 8000π m^2 ≈ 25,133 m^2