If the arcs of the same length in two circles subtend angles 65 0 and 110 0 at the center, find the ratio of their radii.

Question

Philoid · Accepted Answer

Let the angles subtended at the centers by the arcs and radii of first and second circles be θ₁ and r₁ and θ₂ and r₂.

Then,

We know that 180° = π rad ⇒ 1° = π/ 180 rad

We know that