11.1.3 Sector Area and Arc Length - Worksheet
Example 1: Find the area of each sector. Give your answer in terms of π and rounded to the nearest hundredth. 1. sector PQR 2. sector JKL 3. sector ABC
J
135°
8 m
6 m
Q
P
L
K
90°
R
Example 2: 4. The beam from a lighthouse is visible for a distance of 3 mi. To the nearest square mile, what is the area covered by the beam as it sweeps in an arc of 150 ° ?
Example 3: Find the area of each segment to the nearest hundredth. 5. 6. D
7.
P
3 in
6 cm 45°
20 m 60°
B
A
R
Q
F
E
90°
C
Example 4: Find each arc length. Give your answer in terms of π and rounded to the nearest hundredth. 8. EF E F 45° 9. PQ
9 m
120°
16 ft
P
Q
10. an arc with measure 20 ° in a circle with radius 6 in.
245
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