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the circumference of a circle is 7pi m

what is the area of the circle?

a)3.5pi m^2
b)12.25pi m^2
c)14pi m^2
d)49pi m^2

B) 12.25πm²  

Step-by-step explanation:

The formula for the circumference of a circle is

C = 2πr

The circumference of your circle is

C = 7πm

If we factor out a 2 from the 7, we get

C = (2 × 3.5)πm = 2π(3.5m)

Now, if we compare the two formulas, we see that

r = 3.5m

The formula for the area of a circle is

A = πr²

If r = 3.5m, then the area of your circle is

A = π(3.5m)² = 12.25πm²

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

answer:

step-by-step explanation: