Which shows the length of the darkened arc? (The wierd symbol next to the answers is Pi)

15 pi

Step-by-step explanation:

The circumference of the circle is given by

C = pi * d

C = pi *18

We are subtracting part of the circumference that covers 60 degrees

The entire circle is 360 degrees

60/360 = 1/6

We are subtracting 1/6 of the circumference

1/6 *18pi = 3pi

We have 18pi and subtract 3pi = 15pi

The dark shaded arc is 15pi

15 π

Step-by-step explanation:

The formula for determining the circumference of a circle is expressed as

Circumference = 2πr

Looking at the circle,

Diameter = 18 inches

Radius = diameter/2 = 18/2

Radius = 9 inches

Circumference = 2 × 9 × π = 18π

The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r = 9 inches

θ = 60 degrees

Length of arc = 60/360 × 2 × π × 9

Length of arc = 3π

The length of the darkened arc is the circumference of the circle - the arc formed by 60 degrees. Therefore,

length of the darkened arc = 18π - 3π = 15π

Step-by-step explanation:

A general quadratic equation is:

Moving the constant term to the other side of the equation, we get:

Dividing both sides by a, we get:

This is the equation we have been given in the question.

The general equation for a perfect square trinomial is:

Re-writing the given equation we get:

Comparing this equation to the general square trinomial, we can write that we have:

Square of first term i.e.

Twice the product of first and second term i.e.

So in order to complete the square we need to add the square of second term to the both sides of the equation. From the product we can see that the second term is

So, the square of should be added to both sides to get a perfect square trinomial.

Thus, the answer in both blanks would be: