Question

1- which of the following represents a radius of the circle

A-TS
B-SN
C-TR
D-MN


2-which of the following represents a chord but not a diameter of the circle
A-TR
B-SN
C-PM
D-SM



3-Which of the following is a semicircle
A-TS
B-TRA
C-SR
D-SRN


4-if the length of the diameter of the circle is 15 inches what is the length of the radius of the circle
A-7.5 inches
B-15 inches
C-30 inches
D-any length between 0 and 15 inches



5-which of these arcs is the largest
A-NR
B-NRS
C-NST
D-NP

Answer 1

1- which of the following represents a radius of the circle
D-MN

2-which of the following represents a chord but not a diameter of the circle
A-TR

3-Which of the following is a semicircle
D-SRN

4-if the length of the diameter of the circle is 15 inches what is the length of the radius of the circle
A-7.5 inches


5-which of these arcs is the largest
C-NST

Answer 2

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

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