Radius, Diameter, & Definitions
Where can you find the center of a cirlce?
In the exact middle!
What is the circumference of a circle with a radius of 6?
(Leave your answer in terms of pi)
12π
What is a sector?
A portion of the circle. (Think: Pie Slice!)
Given the equation below, what is the radius?
(x+3)2 + (y-5)2 = 81
9
What is a central angle?
An angle whose vertex is at the center of the circle.
(Draw it out!)
d=24
What is the area of a circle with a radius of 4?
(Leave your answer in terms of pi)
16π
What is an arc length?
A portion of the circumference of a circle? (Think: How long is the edge of the crust of the pie slice?)
Given the equation below, what is the radius?
(x-1)2 + (y)2 = 196
14
What is an inscribed angle?
An angle whose vertex is on the circle.
(Draw it out!)
What is the radius of a circle if the diameter is 9?
r=4.5
What is the circumference of a circle with a diameter of 18?
18π
Find the area of a sector with a radius of 10in that spans 60° .
Round answer to 1 decimal place.
54.4 in2
Given the equation below, where is the center?
(x-2)2 + (y-5)2 = 100
Center = (2,5)
How many degrees are in a circle?
360° !
What is a semi-circle?
What is the area of a circle with a diameter of 12?
36π
Find the arc length of an arc with a radius of 10in that spans 60° .
Round answer to 1 decimal place.
10.5 in
Given the equation below, where is the center?
(x+4)2 + (y-1)2 = 36
*Use opposite of h & k!
If the central angle of a circle is 134° , how much is the inscribed angle?
67°
(1/2 * central = inscribed)
What does the circumference measure?
The distance around a circle (the perimeter of a circle)
Find the area of a circle with a center at (3,-2) and a diameter of 8.
16π
Find the area of a sector in a circle with a diameter of 12 that spans 79° .
Round answer to 1 decimal place
18.8 in2
Given the equation below, where is the center AND what is the radius?
x2 + (y+3)2 = 9
Center: (0,-3)
Radius = 3
If the inscribed angle is 99° , what is the measure of the intercepted arc?
198°