Question
Asked Feb 23, 2020
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6.
Three circles with radii 6,7 and 8 are mutually tangent to each other. Find the shaded area enclosed between the three
circles. Round your answer to the nearest tenths place.
r=7
r=6
r=8
Area (in red) =
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6. Three circles with radii 6,7 and 8 are mutually tangent to each other. Find the shaded area enclosed between the three circles. Round your answer to the nearest tenths place. r=7 r=6 r=8 Area (in red) =

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Expert Answer

Step 1

Given: Three circle with radii 6,7 and 8 are mutually tangent tot each other.

Trigonometry homework question answer, step 1, image 1

Step 2

Let us make a triangle ABC with vertices at the respective centers of circles.

Trigonometry homework question answer, step 2, image 1

Here, the sides of triangle are AB = 13, BC = 15 and CA = 14.

Step 3

Trigonometry homework question answer, step 3, image 1

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