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Find the area of the shaded region to the nearest tenth.

Find The Area Of The Shaded Region To The Nearest Tenth class=

Sagot :

Altavistardidn

Answer:

Shaded region is 18.3 units²

Step-by-step explanation:

First find the area of the white triangle.  The base and height of this triangle are both 8.  Thus, the area of the triangle is (1/2)(base)(height), or 32 units.

Next, find the area of the whole circle.  It is πr², which in this case comes

out to π(8 units)² = 64π units².  Realize that (1/4) of this, or 16π units², is the area of the quarter circle that contains the triangle.

To find the shaded area, take the area of the quarter circle (16 π units²) and subtract the area of the triangle (32 units²).

16π units² - 32 units² = 18.3 units²

Shaded region is 18.3 units²

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