If the diameter of a circle changes from 8 cm to 4 cm, how will the circumference change? a) multiples by 1 2 b) multiplies by 2 c) increases by 6 d) decreases by 6

A) Multiples by

Step-by-step explanation:

Let be circumference of original circle and be the circumference of new circle.

We have been given that the diameter of a circle changes from 8 cm to 4 cm. We are asked to find how the circumference of the circle will change.

We will use circumference of circle formula to solve our given problem.

, where, r represents radius of the circle.

Since the radius of a circle is half the diameter, so we will divide the diameter of circle by 2 to get the radius.

Therefore, the circumference of the new circle will be the the circumference of original circle and option A is the correct choice.

greater than one

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true