If the diameter of a circle is increased by 6 cm, what is the increase in the circumference of the circle?

The circumference will be larger by 3 cm.

Step-by-step explanation:

We know that the circumference of a circle is C = 2πr, where r is the radius. The circumference can also be expressed as C = 2π , where d is the diameter (since the radius is half the diameter).

So, if we increase the diameter by 6:

C = 2π

C = 2π

C = 2π + 3

If we compare this to the original equation, C = 2π , we see that if we increase the diameter by 6 cm, the circumference will be larger by 3 cm.

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2