Question

prove that the Radian so defined is independent of the radius of the circle used as ​

Answer 1

Hello Students,

● Radian -

• One radian is the angle made at the center of a circle by an arc whose length is equal to the radius of the circle.
• Although it mentions radius in defination, radian is independent of radius of circle.

● Explanation -

For angle θ, length of arc is given by -

s = 2πr × θ/360°

θ = s/r × 360°/2π

For when s = r,

θᶜ = r/r × 360°/2π

θᶜ = r/r × 360°/2π

θᶜ = 360°/2π

From this we can say that, measure of radian is independent of radius of circle.

Thanks dear...

Answer 2

Answer:

this is a answer frds

Step-by-step explanation:

measure of the radian is independent of radius of the circle