Answer:
Part 1) Option D. MN
Part 2) Option A TR
Part 3) Option D SRN
Part 4) Option A \(7.5\ in\)
Part 5) Option C NST
Step-by-step explanation:
Part 1- which of the following represents a radius of the circle
we know that
The radius of a circle is the distance from the center point to the edge of the circle
In this problem, the radius is equal to
\(r=MP=MN=MS\)
therefore
the answer is option D \(MN\)
Part 2-which of the following represents a chord but not a diameter of the circle
we know that
The chord is a line segment that joins any two points of the circle. The endpoints of this line segments lie on the circumference of the circle.
The diameter is a chord that passes through the center. Is the longest chord of the circle
so
In this problem the diameter is equal to \(D=SN\) and a chord that not represent a diameter is \(TR\)
Part 3-Which of the following is a semicircle
we know that
A semicircle is a half circle
so
In this problem SRN represent a semicircle and STPN represent a semicircle too
Part 4-if the length of the diameter of the circle is 15 inches what is the length of the radius of the circle
we know that
The radius is half the diameter
so
\(r=D/2\)
we have
\(D=15\ in\)
substitute
\(r=15/2=7.5\ in\)
Part 5-which of these arcs is the largest
Verify each case
Arc NR --------> The length of the arc belong to the interval \((90,135)\) degrees
Arc NRS ------> The length of the arc is equal to \(180\) degrees
Arc NST --------> The length of the arc belong to the interval \((180,270)\) degrees
Arc NP --------> The length of the arc belong to the interval \((0,90)\) degrees
therefore
the answer is the arc NST
