Question

A door is fixed at the point O. Ben opened it by an angle of 30°. The area swept by the door was {25}{12}\pi\

Answer 1

5 units

Explanation:

Area swept by the floor will be the area ofd a sector

Area of a sector = theta/2π * πr²

We are to find the radius r

Given

Area= 25π/12

theta = 30° = π/6

Substitute

25π/12 = 30/360 * πr²

25π/12 = 1/12 * πr²

25/12 = r²/12

r² = 25

r = √25

r = 5

Hence the radius od the part swept by the door is 5 units