seadinochips
seadinochips seadinochips
  • 04-05-2021
  • Mathematics
contestada

Find the area of the shaded region. Round to the nearest hundredths place when necessary.
please show work​

Find the area of the shaded region Round to the nearest hundredths place when necessaryplease show work class=

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clarch19
clarch19 clarch19
  • 04-05-2021

Answer:

450.25 sq in

Step-by-step explanation:

Subtract area of triangle from area of circle

Area of Triangle:  

need to get the radius (which we will use as the height) and double the radius to get the base

Pythagorean Theorem:

21² + 20² = c²

441 + 400 = c²

c = [tex]\sqrt{841}[/tex] which is 29

A(Δ) = 1/2(29)×14.5

= 210.25

Area of Circle:

A = π(14.5²)

= 660.52

Difference = 660.5 - 210.25 = 450.25

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