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GRE
GRE Quantitative Reasoning Section

Length of Chord in Circle

Hard Geometry Circles

Consider a circle centered at point O with a radius of 10 units. A triangle ABC is inscribed in this circle such that angle AOB measures 60 degrees. You are required to calculate the length of the chord AB.

Use the appropriate geometric formula for calculating the length of the chord based on the central angle and the radius of the circle.

The formula for the length of a chord can be expressed as:

Chord Length (AB) = 2 * r * sin(θ/2)

where r is the radius and θ is the central angle in degrees.

Hint

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