Question

A sector of 120 degree cut out from a circle has an area of 9 square cm.Find the radius of the circle

Answer 1

Let Radius be R

Here area of sector given = 9 cm²

Angle Ф = 120°

We know that area of sector = (Ф/360) × π × radius²

∴(120/360) × π × R² = 9

R² = (9 × 3)/π

R = 3√3/√π cm