Question

The circumference of circular faces of a frustum.

Answer 1

Given:

Circumferences of the two circular faces: C₁ and C₂.

Radius of corresponding faces: r₁ and r₂.

Step-wise calculation:

1. Use the circle circumference formula: C = 2πr.

2. Solve for each radius:

`r_1 = (C_1)/(2π)`

`r_2 = (C_2)/(2π)`

3. If you need the circumferences from radii, compute:

C₁ = 2πr₁

C₂ = 2πr₂

If C₁ = 132 cm and C₂ = 88 cm, then

`r_1 = 132/(2π)`

= 21 cm

`r_2 = 88/(2π)`

= 14 cm

Circumferences of the frustum’s circular faces are C₁ = 2πr₁ and C₂ = 2πr₂.

Given C₁ and C₂, compute radii by `r_1 = (C_1)/(2π)` and `r_2 = (C_2)/(2π)`

E.g., C₁ = 132 cm → r₁ = 21 cm,

C₂ = 88 cm → r₂ = 14 cm.