Download Honors Algebra 2 Name_____________________ Length of an Arc

Honors Algebra 2
Length of an Arc & Area of a Sector HW
Name_____________________
Date_____________________
Given the radian measure of a central angle, find the measure of its intercepted arc in
terms of  in a circle of radius 10 cm.
1.

4
2.
2
3
3.
5
6
4.
2
5
Given the measurement of a central angle, find the measure of its intercepted arc in terms
of  in a circle of diameter 30 inches.
5. 30 o
6. 5 o
7. 77 o
8. 57 o
Given the measure of an arc, find the degree measure to the nearest tenth of the central
angle it subtends in a circle of radius 8 cm.
9. 5 cm
10. 14 cm
Honors Algebra 2
Length of an Arc & Area of a Sector HW
11. 24 cm
Name_____________________
Date_____________________
12. 12.5 cm
13. An arc is 6.5 cm long and it subtends a central angle of 45 o . Find the radius of the
circle.
14. An arc if 70.7 m long and it subtends a central angle of
2
. Find the diameter of the
7
circle.
15. How many miles is it along the road from point A to point E?
Honors Algebra 2
Length of an Arc & Area of a Sector HW
Name_____________________
Date_____________________
Find the area of each sector to the nearest hundredth, given its central angle and the
radius of each circle.
1) θ =
5
, r = 10 ft
12
2) θ = 54˚, r = 6 in
3) θ =
2
, r = 1.36 m
3
4) θ = 82˚, r = 7.3 km
5) θ = 45˚, r = 9.75 m
6) θ = 12˚, r = 14 yd
7) A sector has an arc length 6 ft and central angle of 1.2 radians. Find the radius and
area of the sector.
8) A sector has area of 15 in 2 and central angle of 0.2 radians. Find the radius of the
circle and arc length of the sector.
9) A sector has a central angle of 20˚ and arc length of 3.5 mm. Find the radius and area
of the sector.
Continued on back…
Honors Algebra 2
Length of an Arc & Area of a Sector HW
Name_____________________
Date_____________________
10) A sector has an arc length 87 mm and central angle of 311.5˚. Find the radius and
area of the sector.
11) A sector has area of 51.3 cm 2 and central angle of 30˚. Find the radius of the circle
and arc length of the sector.
12) A sector has a central angle of 39.4˚ and arc length of 11 mm. Find the radius and
area of the sector.