8-1 HW Parts of a Circle Diameter and Radius

Name ____________________________
4-1 Practice
1) Identify the list that names all of the radii of circle
O.
2) Name the diameter of the circle below.
a) JC, QO, and QJ
b) JO, QO, and CO
c) JO, QC, and CJ
d) JQ, QC, and CJ
3) The radius of a circle is 4 cm. If 5x + 3 represents
the length of the diameter, which equation can be
used to find the value of x?
a)
b)
c)
d)
Diameter __________
4) Find the diameter of the circle.
5x + 3 = 4
5x + 3 = 6
5x + 3 = 2
5x + 3 = 8
5) PD is represented by 6x + 8. The diameter of circle
O measures 32 inches. What is the value of x?
Diameter __________
6) AB has a length of 17 cm, BC has a length of 29 cm,
and CD has a length of 15 cm. What is the length of
the diameter, DE, if AD is the radius of the circle?
x = __________
Diameter __________
7) The figure shows a circle inscribed in a square. The perimeter of the square is 20 feet.
What is the diameter of the circle?
What is the radius of the circle?
Diameter __________
Radius __________
8) How do you find the radius of the circle when given
the diameter?
a)
To find the radius, you need to add 2 to the
diameter.
9) The radius of a pumpkin is 24 cm. The expression
5x + 38 represents the diameter.
What must you do before you can write an
equation to solve for x?
b) To find the radius, you need to divide the
diameter by 2.
a) Subtract 2 from the radius to find the diameter.
c)
c) Multiply the radius by 2 to find the diameter.
To find the radius, you need to subtract 2 from
the diameter.
b) Divide the radius by 2 to find the diameter.
d) Add 2 to the radius to find the diameter.
d) To find the radius, you need to multiply the
diameter by 2.
10) Find the length of the radius of the circle shown.
11) Tennis balls are sold in packages of three. The
length of the package is 30 cm. 2x + 6 represents
the diameter of one tennis ball.
a)
b)
30 cm
Radius __________
12) The radius of the circle is 4.52 cm. 2x represents
the radius. What is the value of x?
x = __________
What is the value of x?
a) 2
c) 6
b) 4
d) 8
2
13) The radius of the clock is 143 cm. What is the
diameter of the clock?
Diameter __________