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Ierofanga [76]
3 years ago
15

Find the area of a regular pentagon that is inscribed in a circle of radius 3. Round to the nearest whole number.

Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0

Answer:

The area of the pentagon is approximately 21 square units

Step-by-step explanation:

The radius of the circle in which the regular pentagon is inscribed, r = 3

The area of a pentagon, 'A', inscribed in a circle with radius, r is given as follows;

A = 5×(1/2) ×2×r·sin(32°)×r·cos(32°) = (5/2)×r²×sin(72°)

Therefore, the area of the pentagon, A = (5/2)×3²×sin(72°) ≈ 21.3987716166 ≈  21

The area of the pentagon, A ≈ 21 square units.

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Can someone tell me the answer for this <br><br><br> I got this wrong on my first attempt ._.
dimaraw [331]

Answer:

86°

Step-by-step explanation:

This is a circle theorem question, specifically the cyclic quadrilateral theorem.

If you have a a 4-sided shape that touches the circumference of the circle with all 4 vertices, it's know as a cyclic quadrilateral.

The theorem states: "Opposite angles in a cyclic quadrilateral add up to 180°"

We want the angle at point L so we subtract the opposite angle to L (Angle J, which is 94°), so 180 - 94 = 86

The neat thing is that it's still a quadrilateral, and if you find all the remaining sides, they should add up to 360°, just like a regular square or rectangle.

7 0
3 years ago
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Darya [45]
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8 0
3 years ago
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kirill [66]
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5 0
4 years ago
9 ten thousand ➗10 unit form
Makovka662 [10]

Hi!

If im reading this right, and im not sure i am, it would be 9100.

Sorry if its wrong!

Hope this helps!

<h2><em>~~PicklePoppers~~</em></h2>
6 0
3 years ago
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inysia [295]
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x = 1 <=== ur number
7 0
3 years ago
Read 2 more answers
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