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

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66answer:

step-by-step explanation:

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!