Me! how do i find the area of the shaded region in the circles?

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

yes

step-by-step explanation: