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.)

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the correct answer is 1) hayek.

2) keynes.   if this is for plato

the correct answer is moro reflex. this is usually witnessed in infants normally up to the age of 4-5 months (in some cases maybe more)  

it is caused by a sudden loss of support that makes the baby feel as if he or she is falling or is going to fall and hence the flinging of the arms and crying.