Answer:
The area of the shaded region is 36π - 72 cm²
Step-by-step explanation:
Given
The radius of the circle segment, r = 12cm
The angle subtended at the centre of the circle is right angled, so
θ = 90°
Convert to radians
θ = 90π/180
θ = ½π
The shaded region is a segment;
To calculate the area of the segment, we make use of the following formula;
A = ½r²(πθ/180 - sinθ) in radians
By substituton,
A = ½ * 12² * (π/2 - sin90)
A = ½ * 144(π/2 - 1)
A = 72(π/2 - 1)
A = 36π - 72 cm²
Area of the shaded region is 36π - 72 cm²
(36π -72) cm²
The area of a segment that subtends arc α (in radians) is given by ...
A = (1/2)r²·(α - sin(α))
Here, you have r = 12 cm and α = π/2 radians, so the area of the segment is ...
A = (1/2)(12 cm)²·(π/2 -1) = (36π -72) cm²
3.5 dollars
The price of one comic book is 3.5.
I got this by dividing 21 and 6
x=6, AB=61, BC=61, AC=122
12-12
hope this helps tell me if it's right
70%