Information
You have already completed the quiz before. Hence you can not start it again.
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
-
Question 1 of 4
Incorrect
Loaded: 0%
Progress: 0%
0:00
Substitute the known values and solve for θ
l |
= |
rθ |
8 |
= |
8θ |
Substitute known values |
8÷8 |
= |
8θ÷8 |
Divide both sides by 8 |
1 |
= |
θ |
θ |
= |
1 |
-
Question 2 of 4
Incorrect
Loaded: 0%
Progress: 0%
0:00
Substitute the known values and solve for θ
l |
= |
rθ |
9 |
= |
5θ |
Substitute known values |
9÷5 |
= |
5θ÷5 |
Divide both sides by 5 |
1.8 |
= |
θ |
θ |
= |
1.8 |
-
Question 3 of 4
Find the value of θ
Use π=3.14
Incorrect
Loaded: 0%
Progress: 0%
0:00
First, substitute the known values and solve for angle of the shaded region
l |
= |
rθ |
44 |
= |
10θ |
Substitute known values |
44÷10 |
= |
10θ÷10 |
Divide both sides by 10 |
4.4 |
= |
θ |
θ |
= |
4.4 |
Angle of the shaded region |
Finally, subtract the angle of the shaded region from the total angle of a circle (2π) to get the value of θ
2π−4.4 |
= |
(2×3.14)−4.4 |
|
= |
6.28−4.4 |
|
= |
1.88 |
-
Question 4 of 4
Given that A=300cm2, find the value of θ in degrees
Use π=3.1415
Round your answer to one decimal place
Incorrect
Loaded: 0%
Progress: 0%
0:00
Arc Length Formula
l=rθ
Area of a Circle Formula
A=πr2
Converting Radian to Degrees
degrees=radian×180°π
First, use the area of a circle formula and solve for r
Area |
= |
πr2 |
300 |
= |
πr2 |
Substitute known values |
300÷π |
= |
πr2÷π |
Divide both sides by π |
|
√300π |
= |
√r2 |
Find the square root of both sides |
|
9.772 |
= |
r |
r |
= |
9.772 |
Next, substitute the known values and solve for θ
l |
= |
2.5 |
r |
= |
9.772 |
l |
= |
rθ |
2.5 |
= |
9.772θ |
Substitute known values |
2.5÷9.772 |
= |
9.772θ÷9.772 |
Divide both sides by 9.772 |
0.2558 |
= |
θ |
θ |
= |
0.2558 |
Finally, convert the radian to degrees
degrees |
= |
radians×180°π |
|
|
= |
0.2558×180°π |
|
|
= |
46.044°3.1415 |
Use π=3.1415 |
|
|
= |
14.7° |
Rounded to one decimal place |