Answer:
1. 136.84 cm²
Step-by-step explanation:
1.
arc=140⁰
radius=11 cm
A.
measure of the arc/360
140/360=7/18 simplified
B.
A=πr²
A=π(11 cm)²
A=121 πcm2
C.
Area of the sector OSI or ISO=(7/18) 121πcm²
=43.56πcm²
Area of sector OSI=136.84 cm²
2.
ARC=150⁰
radius=8 cm
A.
measure of arc/360
150/360=5/12
B.
A=πr²
A=π(8 cm)²
A=64πcm²
C.
Area of Sector ROD=(5/12)64πcm²
=26.67πcm²
=83.78cm²
Area of Sector ROD=83.78 cm²
3.
arc=90°
radius=5 cm
A.
Measure of arc/360
90°/360=1/4
B.
A=πr²
A=π(5 cm)²
A=25πcm²
C.
Area of unknown sector=(1/4)25πcm²
=6.25πcm²
=19.63 cm²
area of unknown sector=19.63 cm²
