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astra-53 [7]
3 years ago
12

Find the area of the shaded region. Use 3.14 for Round to the tenths place.

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
7 0

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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