Question

If the circumference of a circle is divided into 360 congruent parts, the angle subtended by one part at the center of the circle is called



[A] Angle [B] Degree

[C] Minute [D] Radian​

Answer 1

Step-by-step explanation:

If the circumference of a circle is divided into 360 congruent parts, the angle subtended by one part at the center of the circle is called

(D) Radian

Hope it helps

Answer 2

Answer: D

THE ANGLE SUBTENDED WILL BE IN RADIANS BUT ITS CONVERTED/ASSIGNED VALUE EQUALS 1 DEGREE.

Step-by-step explanation

total circumference of the circle 2$\pi$r

dividing the circumference into 360 parts

=> 2$\pi$r/360 =length of arc(subtending angle at centre)= $\pi$r/180=L---1

now according to equation of arc we have:

θ=L/r---2

where θ= angle subtended at centre(in radian), L=length of arc, r =radius of circle. comparing equation 1 and 2 we get:

θ=($\pi$r/180)/r = $\pi$/180 radians(NOTE: this is the value of 1 degree angle but IN TERMS OF RADIAN. A CONVERSION EQUATION => 1DEGREE = $\pi$/180 RADIANS)