Equations of Lines and Circles
Arc Length
Sector Area
Missing Measures
Area and Volume
100
What is the equation in point-slope form for the line parallel to y=2/3x+1 and passes through the point (2,-5)
(y+5)=2/3(x-2)
100
If a circle has a radius of 4 inches, what is the arc length formed by a central angle of 90 degrees?
6.3 inches
100
If a circle has a radius of 5 inches, what is the sector area formed by a central angle of 90 degrees?
19.6 inches²
100
A cone has a volume of 27pi with a height of 9cm. What is the radius of the cone?
3 cm
100
What is the area of the sector that is shown rounded to the nearest tenth?
52.4 cm^2
200
What is the equation for the line perpendicular to the line y=-4x+3 in slope-intercept form, that passes through point (4,3).
y=1/4x+2
200
If a circle has a radius of 10 cm., what is the arc length formed by a central angle of 45 degrees?
7.9 cm.
200
If a bike tire has a radius of 15 inches, what is the sector area formed by a central angle of 100 degrees?
196.3 inches²
200
What is the radius and center of a circle that has the equation (x+4)^2+(y+3)^2=36
Radius: 6
Center: (-4,-3)
200
What is the exact area of the sector?
(512pi)/3
300
What is the equation of a circle that has a radius of 4 and a center at (-2,3).
(x+2)^2+(y-3)^2=16
300
If a circle has a radius of 6 inches, what is the arc length formed by a central angle of 70 degrees?
7.3 inches
300
If a cookie has a radius of 4 cm., what is the sector area formed by a central angle of 180 degrees?
25.1 inches²
300
Find the measure of
angleMIJ
125 degrees
300
Find the area of the sector rounded to the nearest tenth.
11.8 m^2
400
What is the equation of the line perpendicular to the line shown below that passes through the point (2,-1) in slope-intercept form?
y=-2x+3
400
Find the measure of arc ACD
140 degrees
400
Find the radius of a circle which has a sector area of 9π whose central angle is 90°.
r = 6
400
30^o
400
Find the area of the sector. Do not round answers.
114 pi ft^2
500
What is the equation of the line parallel to the line below that passes through the point (3,-2) in slope-intercept form?
y=-1/3x-1
500
A circle has an arc whose measure is 80° and whose length is 88π. What is the diameter of the circle?
396
500
Find the measure of the central angle of a sector if its area is 5π and the radius is 6.
50 degrees
500
Find the measure of arc WV.
50 degrees
500
A cone has a surface area of 383cm^2 and a volume of 156pi cm^3 . The cone is dilated and the volume of the new cone is 1248pi cm^3 What is the area of the new cone?
1532 cm^2