Find the lateral area of the cone

12cm
35cm

To find the lateral area of a cone, you can use the formula:

Lateral Area = πrℓ

Where r is the radius of the cone and ℓ is the slant height of the cone.

Given that the radius of the cone is 12 cm and the slant height is 35 cm, we can plug these values into the formula:

Lateral Area = π(12)(35)

Lateral Area = π(420)

Lateral Area ≈ 1319.69 cm^2

Therefore, the lateral area of the cone is approximately 1319.69 cm^2.