Given: BC = 10 inches AC = sqrt50 inches

m∠CBD = 60°

m∠CAD = 90°

Calculate the exact area of the shaded region. Show all work for full credit.

The area of the circular segment by definition is:

A = 0.5r ^ 2 (a - sin (a))

Where,

r: radius of the circle

a: angle

Substituting we have:

For the largest circle:

A = 0.5 (10 ^ 2) [(60) (pi / 180) sin (60)]

A = 9.0586 in ^ 2

For the smallest circle:

A = 0.5 (6 ^ 2) [(90)

(pi / 180) - sin (90)]

A = 10.27 in ^ 2

Total area: A=10.27+ 9.0586

A=19.3286

Step-by-step explanation:

hope this helps

area of sector BCD =60/360×π×10²=52.36ft²

a area of sector ADC =90/360×π×√50²=39.27ft²

actual area =52.36ft²-39.27ft²=13.09=13ft²

d. 145*2 is 290 than the total angle is 360 then minus 290 then divide by two

4.28095238095 that is the answer