Acircle has a diameter of 4 inches. which statement about the area and circumference of the circle is true?
the answers:
a- a comparison of the area and circumference of the circle is not possible because there is not enough information to find both.
b- the numerical values of the circumference and area are equal.
c- the numerical value of the circumference is greater than the numerical value of the area.
d- the numerical value of the circumference is less than the numerical value of the area.

btw it's not a

Option B is correct

The numerical values of the circumference and area are equal.

Step-by-step explanation:

Circumference(C) and Area (A)of the circle is given by:

             ....[1]

          ......[2]

where, r is the radius of the circle.

As per the statement:

A circle has a diameter of 4 inches.

We know:

Diameter = 2 (radius(r))

then;

4 = 2r

Divide both sides by 2 we have;

r = 2 inches

Substitute these in [1] and [2] we have;

Use

then;

Therefore, the numerical values of the circumference and area are equal i.e 12.56

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

step-by-step explanation: