Vocab
the distance from the center of the circle to the outer edge
radius
θ = 210 and r = 4.5 inches
16.49 in
Radius = 7.6in, Angle = 220°
110.81in2
An adjustable-angle pop-up lawn sprinkler has been installed in an awkward corner of the neighbor's yard. This sprinkler, assuming full water pressure, can spray everything within four meters of the sprinkle. Given that the angle has been set to 70°, how much lawn will this sprinkler head water? (Round to two decimal places.)
9.77 m2
arc length of
12in, 210 degrees
43.98
the length of its “portion” of the circumference
length of an arc
r = 6 in and θ= 74°
3.87 in
Radius = 5.5cm, Angle = 77°
2.06cm2
On a certain vehicle, one windshield wiper is 60 cm long, and is afixed to a swing arm which is 72 cm long from pivot point to wiper-blade tip. If the swing arm turns through 105°, what area of the windshield, to the nearest square centimeter, is swept by the wiper blade?
Hint: Find the difference in length of the wiper and swing arm to be able to find the area...
4750-132
4618 cm2
461.58yd2
Length of a circle
circumference
8cm, 60 degrees
8.38cm
Radius = 4.2yd, Angle = 346°
53.26yd2
A 40-inch pendulum swings through an angle of 18 degrees. Find the length of the arc in inches through which the tip of the pendulum swings.
12.57in
The equation for Arc length is?
(Central angle/360)*circumference
a “portion” of the circumference of the circle
arc of a circle
r=19yd, 150 degrees
49.74 yd
Radius = 5m, Angle = 146°
31.85m2
This is the first year Janis is playing softball. She has been practicing her batting. On her last swing the bat made an arc with a radius of 48 inches and swept through 239° of rotation. Assuming the arc is circular, what is the distance the tip of the bat travels to the nearest inch? How many feet is this rounded to the nearest foot?
200in or approximately 16.67ft
The equation for area of a sector is?
(θ/360)*πr2
The amount of space inside a portion on the circle
Area of a sector
r=12 feet, 195 degrees
40.84 ft
Radius = 6.2ft, Angle = 115°
38.58ft2
At Mickey’s Mechanic Shop a pulley system is used to lift engines from cars. The pulley system consists of a cable that goes around a pulley with a radius 1.5 ft. To the nearest degree, how many degrees of rotation are required for an engine to be lifted 6 feet?
How tall is Mrs. Hernandez?
5'10''