A circle has a radius of 6 centimeters. What is the area of the sector formed by a central angle measuring 2.4 radians? Enter your answer, as a decimal, in the box.
Area of a circle can be calculated using the following formula Area = πr² where π = 3.14 and r - radius of circle Area of the whole circle is for a central angle of 360°. We are asked to find the area of a sector. Sector is when 2 arms enclose a central angle by which one arm has rotated. 1 radian = 57.3° 2.4 radian = 57.3 x 2 = 137.52° Area for 360° = πr² area for 137.52° = πr² / 360° x 137.52 = π x 6 cm x 6 cm x 0.382 = 13.752 cm²
