Which of the following is true of a radius of a circle? (1) Radius is twice the diameter in any circle
(2) Radius is the distance from the center to any point on the circle.
(3) All radii in circles have the same value.

The second one is correct (Radius is the distance from the center to any point on the circle)

2.)

Step-by-step explanation:

The radius of any circle is the distance from the EXACT center, to any point of the circle.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this