Answer:
<em>1. 1.55π,</em>
<em>2. 16π,</em>
<em>3. 2.45π,</em>
<em>4. ( About ) 5.56π,</em>
<em>5. 13.7π</em>
<em>6. ( About ) 1.78π</em>
Step-by-step explanation:
1. Let us keep the answer in terms of π, for the simplicity;
Area of Circle ⇒ π * r^2 = π * ( 3 )^2 = 9π,
Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,
62 / 360 = Area of sector / 9π,
62 * ( 9π ) = 360 * Area of sector,
558π = 360 * Area of sector,
<em>Area of sector; 1.55π</em>
2. Area of Circle ⇒ π * r^2 = π * ( 8 )^2 = 64π,
Area of sector ⇒ 1 / 4 * 64π = 16π,
<em>Area of sector; 16π</em>
3. Area of Circle ⇒ π * r^2 = π * ( 3 )^2 = 9π,
Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,
98 / 360 = Area of sector / 9π,
98 * ( 9π ) = 360 * Area of sector,
882π = 360 * Area of sector,
<em>Area of sector; 2.45π</em>
4. Area of Circle ⇒ π * r^2 = π * ( 4 )^2 = 16π,
Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,
125 / 360 = Area of sector / 16π,
125 * ( 16π ) = 360 * Area of sector,
2000π = 360 * Area of sector,
<em>Area of sector; ( About ) 5.56π</em>
5. Area of Circle ⇒ π * r^2 = π * ( 6 )^2 = 36π,
Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,
137 / 360 = Area of sector / 36π,
137 * ( 36π ) = 360 * Area of sector,
4932π = 360 * Area of sector,
<em>Area of sector; 13.7π</em>
6. Area of Circle ⇒ π * r^2 = π * ( 2 )^2 = 4π,
Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,
160 / 360 = Area of sector / 4π,
160 * ( 4π ) = 360 * Area of sector,
640π = 360 * Area of sector,
<em>Area of sector; ( About ) 1.78π</em>
