The area of segment CFD will be equal to 41.71 square inches.
What is an area?
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
Given that:-
- radius = 20in, area of ΔCBD = 178.2in2, and m∠CBD = 63°
The area of the sector CFD will be calculated as:-
The area of Sector CFDB is calculated by the formula;-
A = [tex]\dfrac{\pi r^2 \theta}{360}[/tex]
A = [tex]\dfrac{\pi \times (20^2)\times 63}{360}[/tex]
A = 219.9 square inches
The area of the triangle is ΔCBD = 178.2in2
Now the area of sector CFD will be = Area of Sector CFDB - Area ΔCBD
Area CFD = 219.9 - 178.2
Area CFD = 41.71 square inches
Therefore the area of segment CFD will be equal to 41.71 square inches.
To know more about an area follow
https://brainly.com/question/25292087
#SPJ2
