What is the radius degree 120 and sector area of 66.99?

To find the radius for a sector with a central angle of 120 degrees and an area of 66.99, we can use the formula for the area of a sector: ( A = \frac{1}{2} r^2 \theta ), where ( \theta ) is in radians. First, convert 120 degrees to radians: ( \theta = \frac{120 \times \pi}{180} = \frac{2\pi}{3} ). Rearranging the area formula gives us ( r^2 = \frac{2A}{\theta} ). Plugging in the values, we find ( r^2 = \frac{2 \times 66.99}{\frac{2\pi}{3}} ), which simplifies to approximately 63.86, leading to a radius of about 7.99.