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3 years ago

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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