Answer:
Option B is correct
3π
Step-by-step explanation:
Area(A) of sector of the circle is given by:
[tex]A = \pi r^2 \cdot \frac{\theta}{360^{\circ}}[/tex] ....[1]
As per the statement:
A circle has a radius of 6 inches.
⇒r = 6 inches
It is also given that a central angle is 30°
⇒[tex]\theta = 30^{\circ}[/tex]
Substitute the given values in [1] we have;
[tex]A = \pi \cdot 6^2 \cdot \frac{30^{\circ}}{360^{\circ}}[/tex]
⇒[tex]A = \pi \cdot 36 \cdot \frac{1}{12}[/tex]
⇒[tex]A = \pi \cdot 3[/tex]
Simplify:
[tex]A = 3 \pi[/tex] square inches
Therefore, the area of a sector of circle is, 3π inches
