Find the number of radians in a central angle whose arc is $\frac { 3 } { 7 }$ of a circle.
A) $\frac { 6 } { 7 }$ rad
B) $\frac { 6 } { 7 } \pi$ rad
C) $\frac { 7 } { 6 } \pi$ rad
D) $\frac { 3 } { 7 } \pi$ rad
E) $\frac { 2 } { 9 } \pi$ rad

Question

Quizplus · Accepted Answer

The circumference of a circle is $2\pi$ radians. If the arc is $\frac{3}{7}$ of the circle, then the central angle in radians is $\frac{3}{7} \times 2\pi = \frac{6}{7}\pi$ radians.

Find the Number of Radians in a Central Angle Whose 37\frac { 3 } { 7 }73​

Find the Number of Radians in a Central Angle Whose $\frac { 3 } { 7 }$