Simple Circles
Equations of a Circle
Arc Length?
Area?
Potpourri/Shaded Area
Final Jeopardy
100
The distance from center to a point on the circle
What is Radius?
100
Write an equation of the circle with center at (7, -1), diameter of 16.
(x-7)2 + (y+1)2 = 64
100
What is the arc length of arc AB?
Leave answer in terms of pi
3pi units
100
Find the area of the circle.
Round answer to the nearest hundredth.
1385.44 cm
100
Find the area of the shaded region in the shape below. Round the the nearest hundredth.
99.86 cm2
200
Line which intersects circles in two points.
What is a Secant Line?
200
Write the equation of the circle shown:
(x-1)2+(y-4)2=9
200
Find the length of arc AB
Round answer to the nearest hundredth.
5.24 units
200
The radius of a circle is 4 miles. Find the area of the sector bounded by a 90 degree arc.
Leave answer in terms of pi.
4pi square miles.
200
Find the area of the shaded portion. Leave in terms of pi.
16pi cm^2
300
Given a circle with a diameter of 72 cm, find the circumference.
Round answers to the nearest hundredth?
225.19 cm
300
Is the point (6,-4) on the circle represented by the equation x2+(y+4)2 = 16?
Yes
300
The measure of an arc is 98 degrees and the radius is 15 inches, what is the arc length, to the nearest hundredth?
25.65 inches
300
What is the radius of a circle if its area is 120 squared inches?
6.18 inches
300
Find the area of only the shaded section:
Round to the nearest hundredth.
Area = 241.81m2
400
If the sector of a circle has a central angle of 300 degrees, what portion of the circle is the sector?
5/6
400
Write an equation of the circle with center at (5, –2), that passes through (4, 0).
(x-5)2 + (y+2)2 = 5
400
What is the arc length of arc BC if the central angle is 75 degrees and the radius is 12 cm?
Leave answer in terms of pi.
5pi cm
400
If the radius of the circle is 5 ft, find the area of the sector bounded by a 24 degree arc.
Leave answers in terms of pi.
5pi/3 ft
400
Find the value of x
x=30
500
Find the radius of the circle.
2.5 cm
500
Write the equation of the circle with the diameter has endpoints (-5, 2) and (10, 10).
(x-2.5)2+(y-6)2=72.25
500
What is the measure of arc OP if the arc length is 10pi mm and the radius is 8 mm?
225 degrees
500
Find the angle measure for a sector with an area of 8pi units in a circle with a radius of 6 units.
80 degrees
500
△ DEF is an equilateral triangle.
What is the length of DO?
DO = 3sqrt3
500
If the area of a circle is 49pi, what is it's circumference?
14pi