The area of a sector of a circle with a central angle of 120° is 68 m2. Find the radius of the circle.

Question

The area of a sector of a circle with a central angle of 120° is 68 m².

 Find the radius of the circle. (Round your answer to one decimal place.)

1.  m

Answer 1

A = (θ / 360)πr²,

Can you substitute values and solve for r?

Answer 2

120 = 1/3 of 360

68= 1/3 of 204= the circle's area = pir^2

r^2= 204/pi

r= radius = square root of 204/pi=about 8.058

= about 8.1 m