# How do you find the area of a 120° sector of a circle whose radius is 6?

##### 1 Answer

May 25, 2018

#### Explanation:

#"calculate the area of the sector using"#

#"area of sector "="area of circle "xx" fraction of circle"#

#color(white)(xxxxxxxxxx)=pir^2xx120/360#

#color(white)(xxxxxxxxxx)=pixx6^2xx1/3#

#color(white)(xxxxxxxxxx)=36pixx1/3=12pi~~37.7#