PLEASE I NEED HELP

The figure shows a quarter circle and an equilateral triangle. What is the area of the shaded part? Give your answer to 3 significant figures. (Take π = 3.14.)

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01-12-2021
Mathematics

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PLEASE I NEED HELP

The figure shows a quarter circle and an equilateral triangle. What is the area of the shaded part? Give your answer to 3 significant figures. (Take π = 3.14.)

Sagot :

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Emmaginativeidn Emmaginativeidn · Answer 1 · 2021-12-01T17:39:10-05:00

Answer:

14.0

Step-by-step explanation:

First, find the area of the whole circle using the equation pi * r^2.

pi * (7^2) = 49pi

Then, to only get the area of a quarter of the circle, divide this number by 4.

49pi/4 = 38.485

Then, to get only the shaded region, you have to find the area of the triangle and subtract it from the area of the quarter circle. The area of the triangle is found using 1/2 * b * h.

1/2 * (7*7) = 24.5

Then subtract that number from the previous one.

38.485 - 24.5 = 13.985

You need to round this to 3 significant figures, so it would be 14.0.

Hope this helps

Sagot :

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