An arc subtends a central angle measuring \dfrac{\pi}{2}
2
π

start fraction, pi, divided by, 2, end fraction radians.
What fraction of the circumference is this arc?
of the circumference

Arc Length is 1/4th of the circumference .

Step-by-step explanation:

Here we need to find fraction of the circumference is this arc when An arc subtends a central angle measuring radians ! Let's find out :

We know that circumference of an arc subtending a central angle of x is :

⇒

⇒

⇒

⇒

⇒

⇒

Therefore , Arc Length is 1/4th of the circumference .

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