Circle M has diameter S N, radius M P, and chord T R.
Use the figure.
Which of these arcs is the largest?
A. arc NR
B. arc NRS
C. arc NST
D. arc NP
A. arc NR is the largest as it is a semicircle with a diameter SN.
To determine which arc is the largest, we need to compare their lengths.
Arc NR is an arc intercepted by chord TR, and it subtends angle NTR on the circumference of the circle.
Arc NRS is an arc intercepted by chord TR and another chord NS, and it subtends angles NTS and RTS on the circumference of the circle.
Arc NST is an arc intercepted by two chords NS and TR, and it subtends angle NRT on the circumference of the circle.
Arc NP is an arc intercepted by radius MP and chord TR, and it subtends angle PTR on the circumference of the circle.
To compare the lengths of these arcs, we need more information about the angles or segment lengths. Without the additional information, we cannot determine which arc is the largest.