Understanding Concentric Circles and Chords

What is the length of the chord AB in the problem involving concentric circles?

• 8 units

• 32 units

• 16 units

• 24 units

Which theorem is used to relate the radii and the chord in the problem?

• Thales' theorem

• Fermat's Last Theorem

• Pythagorean theorem

• Euclid's theorem

What is the relationship between a tangent and a radius at the point of tangency?

• They form an acute angle

• They are perpendicular

• They are equal

• They are parallel

How is the area of the shaded region calculated in terms of the chord length?

• By subtracting the chord length from the radius and multiplying by pi

• By adding the chord length to the radius and multiplying by pi

• By dividing the chord length by two, squaring it, and multiplying by pi

• By multiplying the chord length by pi

What is the final area of the shaded region in terms of pi?

• 32 pi

• 64 pi

• 48 pi

• 80 pi