Answer:
point D
Step-by-step explanation:
I'm guessing that you don't really want the formulas. I think what you actually want
is the definitions of those functions of an acute angle when it's in a right triangle.
Cosine = (adjacent side) / (hypotenuse)
Tangent = (opposite side) / (adjacent side)
Sine = (opposite side) / (hypotenuse)
Tell me if I'm wrong, and I'll find some formulas for you.
Answer:
Point O is the center of the circle.
<u>Part (a)</u>
is a chord.
is a segment of the radius and is perpendicular to 
If a radius is perpendicular to a chord, it bisects the chord (divides the chord into two equal parts).
Therefore, 
<u>Part (b)</u>
If
was extended past point E to touch the circumference it would be a chord.
As
is perpendicular to
, it would bisect the chord, but as
is only a portion of a chord,
<u>does not</u> bisect
.
Therefore, there is no length equal to
.
Answer:

Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The distance between the center and any point that lie on the circle is equal to the radius
we have the points
(5,-4) and (-3,2)
the formula to calculate the distance between two points is equal to
substitute the values
step 2
Find the equation of the circle
we know that
The equation of a circle in standard form is equal to

where
(h,k) is the center
r is the radius
we have

substitute


Answer: The answer is the first explanation.
Step-by-step explanation: We are given five different options and we are to select which explanation is correct to derive the formula for a circumference of a circle.
Let 'C' be the circumference and 'd' be the diameter of a circle. Now, we will write the ratio of the circumference to the diameter as

Also, we know that

And diameter of a circle is twice the radius, so

Therefore,

This is the formula for the circumference of a circle. Since this explanation matches exactly with the first option, so the correct option is
(a). Find the relationship between the circumference and the diameter by dividing the length of the circumference and length of the diameter. Use this quotient to set up an equation to showing the ratio of the circumference over the diameter equals to π . Then rearrange the equation to solve for the circumference. Substitute 2 times the radius for the diameter.