If the radius of the circle above is x, ∠AOB = 120°, and O is the center of the circle, what is the length of chord AB in terms of x ?
A. x
B. x
C.
D.
Answer:B
If the radius of the circle above is x, ∠AOB = 120°, and O is the center of the circle, what is the length of chord AB in terms of x ?
A. x B. x C. D.
Explanation: B You can start by Plugging In a value for x; try x = 4. Because angle AOB is 120° and the triangle is isosceles, angles A and B are each 30°. Cut triangle AOB in half to make two 30-60-90 triangles with a hypotenuse of 4 and sides of 2 and 2 . The side with length 2 lies on chord AB. Double it to get the total length: 4 or just x, which is (B) when you put x = 4 into the answer choices.