Area = πr², so r² = 50, r = √50 ≈ 7.07 cm.

The lengths of the tangents from a point outside the circle to the circle are equal.

Maximum distance = r1 + r2 = 5 + 3 = 8 cm.

Area of sector = (θ/360) * πr² = (120/360) * π(6)² = 12π cm².

The distance from the center to a point on the circumference is equal to the radius, which is 9 cm.

Arc length = (θ/360) * 2πr = (90/360) * 2π(10) = 5π cm.

Arc length = (θ/360) * 2πr = (90/360) * 2π(4) = 2π cm.