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Find the area of the shaded region. Use 3.14 for Round to the tenths place.
21 in
20 in
The area of the shaded region is

Find the area of the shaded region. Use 3.14 for Round to the tenths place. 21 in 20 in The area of the shaded region is class=

Answer :

mhanifa

Answer:

  • 450.2 in²

Step-by-step explanation:

The area of the shaded region is:

  • The area of circle - area of triangle

Diameter of the circle is the hypotenuse of right triangle. As per Pythagoras:

  • d = √20²+21² = √400+441= √841 = 29in
  • r = d/2 = 29/2 = 14.5 in

Area of circle:

  • A = πr² = 3.14*14.5² = 660.2 in²

Area of triangle:

  • A = ah/2 = 20*21/2 = 210 in²

Shaded area:

  • 660.2 - 210 = 450.2 in²

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