Answer:
13.09 in²
Step-by-step explanation:
<u>Formula to find the Area of Segment:</u>
- <em>A= (θ × π/360° − sin(θ)/2) × r², where θ = arc in degrees, r = radius of circle</em>
<em>We need to find the radius of the circle for our calculation of area of the segment.</em>
<em>Refer to picture.</em>
<u>The right triangle ΔOBC has:</u>
- BC= 1/2 of chord AB = 8 in/2 = 4 in
- ∠COB = 1/2 θ= 1/2*120° = 60°
<u>Since ΔOBC is 30-60-90 triangle:</u>
<u>Then the area of segment:</u>
- A= (θ × π/360° − sin(θ)/2) × r² =
- (120° × π/360° − sin(120°)/2) × (8√3/3)² =
- (3.14/3 - √3/4)× 64/3 =
- 13.09 in²
<u>Answer:</u> 13.09 in²
Answer: 50%
Step-by-step explanation:
(6000-4000)/4000= 2000/4000
=2/4=1/2
(1/2)100=50
Answer:
W=5
Step-by-step explanation:
40+4w=12w
-4w -4w
40= 8w
÷8 ÷8
5=w
.123
.456
.002
.1
.2
any of these will work :) hope this helps!
Answer: 1 1/9
Step-by-step explanation: