Answer:
ok, so i've never done this before, but i think i know how you do it. So first, find out the area of the whole triangle place in the circle shown on the diagram. Then, the area in the triangle that's not purple is what you need to subtract from the whole piece, i hope this helps
Step-by-step explanation:
Answer:
Step-by-step explanation:
10a)
The formula for determining the area of a sector is expressed as
Area = #/360 × πr^2
From the diagram given,
# = π/3. We would convert π to degrees. 2π = 360 degrees. It means that π = 360/2 = 180 degrees. Therefore
π/3 = 180/3 = 60 degrees.
r = 10
Area of sector = 60/360 × 3.14 × 10^2 = 52.33 cm^2
Area of the triangle formed can be determined by the formula,
Area = 1/2abSinC
From the triangle,
a = 10,
b = 10
C = π/3 = 60 degrees. Therefore,
Area = 1/2 × 10 × 10 × Sin60 = 50 × 0.8660
Area of triangle = 43.3 cm^2
Therefore, area of the shaded region would be
53.3 - 43.3 = 10 cm^2
10b) looking at the diagram,
# = 135 degrees
r = 12
Area of sector = 135/360 × 3.14 × 12^2 = 169.56 cm^2
Area of the triangle = 1/2 × 12 × 12 × Sin 135 = 1/2 × 144 × 0.7071 = 50.9 cm^2. Therefore, the area of the shaded region would be
169.56 - 50.9 = 114.66 cm^2
