If a circle has a circumference of 28π centimeters (cm) then what is it's area in centimeters squared?

a. 784π

b. 196π

c. 14π

d. 28π

The correct answer is B. 196π

Step-by-step explanation:

Let's recall the formulas related to the circle:

Circumference = 2π * r

Replacing with the real value we have and solving for r:

28π = 2πr

r = 28π/2π

r = 14 cm

Now, let's find the area of the circle:

A = π * r²

A = π * 14²

A = 196π cm²

The correct answer is B. 196π

5

step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions