Answer:
Option (D)
Step-by-step explanation:
The area of sector of a circle is given by formula:
Area of sector of circle= ([tex]r^{2}[/tex]∅)/2
where r is the radius of circle and ∅ is the angle subtended by the arc at the center of circle in radians.
Given :
∅ =155°
radius =4.3 in
The first step will be to convert the angle from degree to radian
According to formula:
[tex]\pi radian = 180[/tex]°
Using above to solve:
[tex]155[/tex]°=[tex]\pi/180[/tex]×155° = 2.705 radians
Area of sector of circle= ([tex]r^{2}[/tex]∅)/2
Substituting value into above we have,
Area of sector of circle= ([tex]4.3^{2}[/tex] ×2.705)/2 = 25.007 = 25 [tex]in^2[/tex](approx)
So the answer is Option (D)
Answer:
D. 25 inch²
Step-by-step explanation:
We are given that,
Radius of the circle, r = 4.3 inches
Central angle made by the circle, θ = 155° = 2.705 radians
We have that,
Substituting the values, we get,
Area of the sector = [tex]\frac{(4.3)^2\times 2.705}{2}[/tex]
i.e. Area of the sector = [tex]\frac{18.49\times 2.705}{2}[/tex]
i.e. Area of the sector = [tex]\frac{50.01545 }{2}[/tex]
i.e. Area of the sector = 25.008 ≈ 25 inch²
Hence, option D is correct.
