The area of the sector AOB is 487 and mZAOB = 270 degrees.
Find the radius of Circle O:

Radius of circle = 14.38 unit (Approx.)

Explanation:

Given:

Area of the sector AOB = 487 unit²

Angle of sector AOB = 270°

Find:

Radius of circle

Computation:

Area of the sector = [θ/360][πr²]

Area of the sector AOB = [θ/360][πr²]

487 = [270/360][(3.14)r²]

487 = [0.75][(3.14)r²]

487 = [2.355r²]

r² = 487 / 2.355

r² = 206.80

r = 14.38

Radius of circle = 14.38 unit (Approx.)

i think the answer is b.) them maintain their relationships.

hope it